{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Smart water flooding analytical solution\n",
    "This document is mostly based on the SPE-7660 paper by Gary Pope. I first implement the simple water flooding analytical solution and then expand it to low salinity water flooding with and without ionic adsorption.\n",
    "\n",
    "## Mathematical model\n",
    "The two phase flow equation in a 1D porous medium reads\n",
    "$$\\frac{\\partial S_w}{\\partial t}+\\frac{u}{\\varphi}\\frac{df_w}{dS_w}\\frac{\\partial S_w}{\\partial x} = 0 $$\n",
    "The dimensionless time and space are defined as\n",
    "$$t_D = \\frac{ut}{\\varphi L}$$ and\n",
    "$$x_D = \\frac{x}{L}$$\n",
    "The velocity of a constant saturation front is calculated by\n",
    "$$V_{S_w} = (\\frac{dx}{dt})_{S_w}=\\frac{u}{\\varphi}\\frac{df_w}{dS_w}$$\n",
    "The shock front is specified by\n",
    "$$\\frac{f_w(S_{w,shock})-f_w(S_{w,init})}{S_{w,shock}-S_{w,init}}=\\left(\\frac{df_w}{dS_w}\\right)_{S_{w,shock}}$$\n",
    "The injected water front velocity (i.e., a tracer in the injected water, or the low salinity of the injected brine) is calculated by\n",
    "$$V_{c} = (\\frac{dx}{dt})_{c}=\\frac{u}{\\varphi}\\frac{f_w}{S_w}$$\n",
    "an the water saturation that corresponds to the position of the salinity front is given by\n",
    "$$\\frac{f_w(S_{w,s})-f_w(0)}{S_{w}-0.0}=\\left(\\frac{df_w}{dS_w}\\right)_{S_{w,shock}}$$\n",
    "which is the tangent line fron the point (0,0) to the $f_w-S_w$ (fractional flow) curve.\n",
    "The breakthrough time (in number of pore volume) is calculated by\n",
    "$$t_{D, bt} = \\left(\\frac{df_w}{dS_w}\\right)^{-1}_{S_{w,shock}}$$\n",
    "The other useful relation is the average saturation after breakthrough, which reads\n",
    "$$S_{w,av} = S_{or}+\\left[(1-f_w)\\left(\\frac{df_w}{dS_w}\\right)\\right]_{x=L}, \\;t_D>t_{D,bt}$$ \n",
    "The recovery factor then can be calculated based on the fact that the recovery curve is linear until the breakthrough, and after breakthrough it gradually reaches a plateau. The oil recovery factor before the breakthrough is calculated by\n",
    "$$R = \\frac{(1-f_w(S_{w,init}))t_D}{1-S_{w,init}}, \\;t_D<t_{D,bt}$$ and after breakthrough by\n",
    "$$R = \\frac{S_{w,init}-S_{w,av}}{1-S_{w,init}}, \\; t_D>t_{D,bt}$$\n",
    "Let's try the above formulation in Julia."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing the codes\n",
    "The `FractionalFlow.jl` package is built to solve and visualize the analytical solutions to several injection problem in the petroleum engineering, including water flooding, low salinity water flooding with and without ionic adsorption, and solvent flooding (carbonated water, DME, etc). There are several functions that are documented in the code. Here, I show by example how to define a problem, solve it, and visualize the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module FractionalFlow.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Main.FractionalFlow"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Water flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pSsxmaD/afrzzc0i5aGweERE3t2jfr1xOzSK0fAk6313J6DiGMLzQmTx5MhEREfj5+REZGcnmzZtv+/xJkyZRp04dSpQoQWhoKCNGjCA9Pb2Q0orL3fUQVL4HMq/A1klGpxERcVtWq42ZV3cpf6ZVBBaz52/3cDOGFjoLFixg+PDhjBkzhv379xMVFUWXLl2IiYm56fPnzp3LqFGjeOuttzhy5AgzZsxgwYIFjB49upCTi8uYTNBhrP141zRIPm9sHhERN7XupzhOxKfg7+dFr2ahRscxjKGFzgcffMDAgQMZNGgQdevWZdKkSYSGhjJlys17qWzfvp3WrVvz5JNPUq1aNTp16kSfPn3Ys2dPIScXl6r1AFS9F7LTYMsHRqcREXFL07fYl5Q/eW8YpX29DE5jHMMKnczMTPbu3UunTp3ynO/UqRPbtm276TVt2rRh79697Nq1C4ATJ06wcuVKHnrooVu+T0ZGBklJSXkeUsSZTHDfGPvxnpmQ+KuxeURE3MwPZxLZceISXmYTA1pXMzqOoQwrdOLj48nJySE4ODjP+eDgYGJjY296Te/evXn33Xdp06YN3t7e1KhRgw4dOjBq1Khbvs/EiRMJCAjIfYSGFt/hO7cS0Q6qRUFOJmx6z+g0IiJu5VqDwIcaVqZyQAmD0xjL8MnIJlPeyVE2m+2Gc9ds2LCB8ePHM3nyZPbt28fixYtZvnw577777i1ff/To0SQmJuY+Tp8+7dT84iImE3S4Oqqzfw5cijY2j4iImziXmMbyg+cAGFQMGwRez7CbdhUrVsRisdwwehMXF3fDKM81b7zxBv369WPQoEEANGjQgJSUFJ577jnGjBmD2Xxj3ebr64uvr6/zvwFxvfCWUON++GUtbPo/6KGOySIif+SLbSfJttpoHlGeBlUDjI5jOMNGdHx8fIiMjGTNmjV5zq9Zs4ZWrVrd9JrU1NQbihmLxYLNZsNms7ksqxjo2qjO9/Mg/rixWUREirgrGdl8tdO+cnlwMW0QeD1Db12NHDmS6dOnM3PmTI4cOcKIESOIiYlhyJAhAPTv3z/P0vFu3boxZcoU5s+fT3R0NGvWrOGNN97gkUcewWKxGPVtiCtVjYQ6XcFmhfUTjE4jIlKkfb3nNMnp2VSvWIr77goyOk6RYOh6syeeeIKLFy8ybtw4zp07R/369Vm5ciXh4eEAxMTE5BnBGTt2LCaTibFjx3LmzBkCAwPp1q0b48ePN+pbkMLQYQwcXQmHF0PUSKjUwOhEIiJFTo7Vxsyt9vmMz7aJwFxMGwRez2QrZvd8kpKSCAgIIDExkTJlyhgdR/Jr4UD4YSHUfhCeXGB0GhGRIuebQ+d4Ye4+ypX0Ztuo+ynh41l3Ogr6+W34qiuRfOnwOpgscGwVnN5ldBoRkSJn2tUl5X1bhHtckXMnVOiIe6hQAxo/ZT9eOw6K10CkiMht7T11mX0xCfhYzPRrGW50nCJFhY64j3Z/BYsPnNwMJzYYnUZEpMiYcXW7h+6NQgjy9zM4TdGiQkfcR0BVaGbvoaRRHRERu9OXUln1g70n3SAtKb+BCh1xL21GgncpOLvPvhJLRKSYm7k1GqsNompVpE4lf6PjFDkqdMS9lA6EFi/Yj9e+C9YcY/OIiBgoMS2L/+y2b22kBoE3p0JH3E+rF8GvLFw4Aoe+NjqNiIhh5u+KISUzhzrB/kTVqmh0nCJJhY64nxJloc0I+/H68ZCdYWweEREDZOVY+WLbSQAGtom45YbYxZ0KHXFP9z4H/pUhIQb2fmF0GhGRQrfy0DnOJaZTsbQv3RuHGB2nyFKhI+7Jp6R9uTnAxn9CRrKxeURECpHNZsttEPh0y3B8vdQg8FZU6Ij7atwXyteA1HjYPtnoNCIihWZn9CV+OJOEn7eZp1qoQeDtqNAR92XxhvvG2I+3fQIp8cbmEREpJNOvjub0bFKV8qV8DE5TtKnQEfdW71Go1BAyk2HzB0anERFxuRMXrvDdkTjAvku53J4KHXFvZjN0fMt+vHsaJJw2No+IiIvN2BINQMe6QdQILG1wmqJPhY64vxr3Q7UoyMmE9ROMTiMi4jKXUjJZtO9XAAa2UYPA/FChI+7PZIKOb9uPv58H5w8bmUZExGXm7jhFepaV+lXK0KJ6eaPjuAUVOuIZqjaFuo8ANvjuHaPTiIg4XUZ2Dl9uPwXAoDbV1SAwn1ToiOe4/y0wWeD4t3Byi9FpREScaumBs8RfyaBSGT8ealjZ6DhuQ4WOeI6KNSHyafvxmrfAZjM2j4iIk9hsNmZstk9CHtC6Gt4WfXznl35S4lna/RW8S8KZPXBkmdFpREScYvPxeI6eT6akj4U+94YZHcetqNARz+JfCVr+xX68dhzkZBmbR0TECaZfXVLeq2koASW8DU7jXhwudAYMGMCmTZtckUXEOVq9CCUrwMWfYf8co9OIiNyRo7HJbDp2AbMJnm2tBoGOcrjQSU5OplOnTtSqVYsJEyZw5swZV+QSKTi/Mr9t+Lnh75Bxxdg8IiJ3YMYW+3YPne+uRFiFkgancT8OFzqLFi3izJkz/OUvf+Hrr7+mWrVqdOnShYULF5KVpdsEUkREPgPlqsGV87D9U6PTiIgUSFxyOkv2nwVgUJQaBBZEgeboVKhQgWHDhrF//3527dpFzZo16devHyEhIYwYMYLjx487O6eIY7x87MvNAbZ+DMnnjc0jIlIA/95+iswcK03CyhIZXs7oOG7pjiYjnzt3jtWrV7N69WosFgtdu3bl8OHD1KtXjw8//NBZGUUK5u5HoUokZKXAholGpxERcUhaZg5zdlxtEKjRnAJzuNDJyspi0aJFPPzww4SHh/P1118zYsQIzp07x5dffsnq1auZM2cO48aNc0VekfwzmaDT3+zH+2bDhaPG5hERccDi/b9yOTWL0PIl6Hx3JaPjuC0vRy+oXLkyVquVPn36sGvXLho1anTDczp37kzZsmWdElDkjoS3gjoPwdEV9iaCT843OpGIyB+yWm25u5Q/0yoCi1nbPRSUw4XOhx9+yOOPP46fn98tn1OuXDmio6PvKJiI03R8G46tgmPf2LeGqNbG6EQiIre1/mgcJy6k4O/nRa9moUbHcWsO37pav379TVdXpaSk8OyzzzollIhTBdb+bWuI1WPBajU2j4jIH5i22b6k/Ml7wyjt6/CYhPyOw4XOl19+SVpa2g3n09LSmD17tlNCiThd+9HgUxrO7ofDi41OIyJySz+cSWTHiUt4mU0MaF3N6DhuL9+FTlJSEomJidhsNpKTk0lKSsp9XL58mZUrVxIUFOTKrCIFVzoIWg+zH3/3DmSlG5tHROQWpl8dzXmoYWUqB5QwOI37y/d4WNmyZTGZTJhMJmrXrn3Dn5tMJt555x2nhhNxqpZDYc8sSIyBnZ9Bm+FGJxIRyeNcYhrLD54DYFAbLSl3hnwXOuvXr8dms3HfffexaNEiypcvn/tnPj4+hIeHExIS4pKQIk7hUwrufwOWvACb34fGfaFURaNTiYjk+mLbSbKtNppHlKdB1QCj43iEfBc67dq1AyA6OpqwsDBMJi11EzfUsDfsmAKxB+1NBB963+hEIiIAXMnI5qudMQAMVoNAp8lXoXPw4EHq16+P2WwmMTGRQ4cO3fK5DRs2dFo4Eaczm6HzePiym/021r3PQWAdo1OJiPD1ntMkp2dTvWIp7rtLc16dJV+FTqNGjYiNjSUoKIhGjRphMpmw2Ww3PM9kMpGTk+P0kCJOFdEW6nSFoyth9Rvw1H+MTiQixVyO1cbMrfb+c8+2icCsBoFOk69CJzo6msDAwNxjEbf3wDg4vhqOfwsnNkD19gYHEpHibPXhWE5fSqNcSW96NqlqdByPkq9CJzw8/KbHIm6rYi1oOhB2fQ7fjoXnN4LZYnQqESmmrjUIfKp5OCV89LvImfJV6CxbtizfL/jII48UOIxIoWo/Cr6fD+cPwYG50KS/0YlEpBjae+oy+2IS8LGY6d9KgwnOlq9Cp0ePHvl6Mc3REbdSsjy0ew1Wj4G170K9HuBXxuhUIlLMzNhiH83p3iiEIP9b7yMpBZOvzshWqzVfDxU54nbufQ7KV4eUONjygdFpRKSYOX0plVU/xAIwMCrC4DSeyeG9rkQ8ipcPdBpvP97+L7h80tA4IlK8zNwajdUGUbUqclcljSi7Qr5uXX388cc899xz+Pn58fHHH9/2uS+99JJTgokUmjpdIKIdRG+ENW9CL21OKyKul5iWxX92nwZgkBoEuozJdrOGONeJiIhgz549VKhQgYiIWw+tmUwmTpw44dSAzpaUlERAQACJiYmUKaPqWa6K/QE+jwKbFQashGqtjU4kIh7u842/MPGbn6gdXJpvh7fVjgN/oKCf3/nuo3OzYxGPUak+NHka9s6CVaPguQ1abi4iLpOVY+WLbScB++adKnJc547m6Nhstpt2SBZxSx3GgG8Z+z5YB74yOo2IeLCVh85xLjGdiqV96d5YG2K7UoEKnRkzZlC/fn38/Pzw8/Ojfv36TJ8+3dnZRApX6UBo+6r9eO04SE8yNo+IeCSbzcb0zfa7I/1bhuPrpdFjV3K40HnjjTcYNmwY3bp14+uvv+brr7+mW7dujBgxgrFjx7oio0jhaf78b8vNN79ndBoR8UA7oy9x6Ewivl5m+rZQg0BXy9dk5N+rWLEin3zyCX369Mlzft68ebz44ovEx8c7NaCzaTKy/KGjq2DeE2D2hqE7oUINoxOJiAcZ9OUevjtyniebhzHh0QZGx3EbBf38dnhEJycnh6ZNm95wPjIykuzsbEdfTqToqd0ZanYEaxZ8O8boNCLiQU5cuMLan84DMLCNGgQWBocLnb59+zJlypQbzk+dOpWnnnrKKaFEDGUyQeeJYPaCY9/Az98ZnUhEPMTMrdHYbHD/XUHUCCxtdJxiIV/Ly0eOHJl7bDKZmD59OqtXr6ZFixYA7Nixg9OnT9O/vzZFFA8RWBvufR52/AtWjYYX2oHF2+hUIuLGLqdksnDvr4AaBBamfBU6+/fvz/N1ZGQkAL/88gsAgYGBBAYGcvjwYSfHEzFQu9fg4AKIPwa7pkHLPxudSETc2Nydp0jPsnJ3SBlaVC9vdJxiI1+Fzvr1612dQ6ToKVEW7n8D/jcMNvwdGvaCUhWNTiUibigjO4cvt58CYHCUGgQWJm3qKXI7jftBpYaQkQhr3zE6jYi4qaUHznIhOYNKZfx4qGFlo+MUKwUqdHbv3s1rr71G7969eeyxx/I8HDV58mQiIiLw8/MjMjKSzZs33/b5CQkJDB06lMqVK+Pn50fdunVZuXJlQb4NkT9mtkDX/7Mf75sDZ/Yam0dE3I7NZmPG1QaBA1pXw9uiMYbC5PBPe/78+bRu3Zoff/yR//73v2RlZfHjjz+ybt06AgICHHqtBQsWMHz4cMaMGcP+/fuJioqiS5cuxMTE3PT5mZmZPPDAA5w8eZKFCxdy9OhRpk2bRpUqVRz9NkTyL6wFNOwN2GDlq2C1Gp1IRNzI5uPxHD2fTEkfC33uDTM6TrHjcKEzYcIEPvzwQ5YvX46Pjw8fffQRR44coVevXoSFOfYX+MEHHzBw4EAGDRpE3bp1mTRpEqGhoTddvg4wc+ZMLl26xJIlS2jdujXh4eG0adOGe+65x9FvQ8QxD7wDPv72EZ0Dc41OIyJuZPoW+2hOr6ahBJTQ6s3C5nCh88svv/DQQw8B4OvrS0pKCiaTiREjRjB16tR8v05mZiZ79+6lU6dOec536tSJbdu23fSaZcuW0bJlS4YOHUpwcDD169dnwoQJ5OTk3PJ9MjIySEpKyvMQcZh/JWj/V/vxd29DWoKhcUTEPRyNTWbTsQuYTfBsazUINILDhU758uVJTk4GoEqVKvzwww+Afe5Mampqvl8nPj6enJwcgoOD85wPDg4mNjb2ptecOHGChQsXkpOTw8qVKxk7dizvv/8+48ePv+X7TJw4kYCAgNxHaGhovjOK5HHv81CxNqTGw4aJRqcRETcwY8sJADrfXYmwCiUNTlM8OVzoREVFsWbNGgB69erFsGHDGDx4MH369OH+++93OMD1S+xsNtstl91ZrVaCgoKYOnUqkZGR9O7dmzFjxtzyVhfA6NFBznCUAAAgAElEQVSjSUxMzH2cPn3a4YwiAHj5QJd/2I93TYPz6hslIrcWl5zOkv1nATUINFK++uj83qeffkp6ejpgLyK8vb3ZsmULjz32GG+88Ua+X6dixYpYLJYbRm/i4uJuGOW5pnLlynh7e2Ox/Lalfd26dYmNjSUzMxMfH58brvH19cXX1zffuURuq8Z9ULcbHPkfrHwNBiy3bxkhInKdf28/RWaOlcZhZYkML2d0nGKrQLeuQkJC7Bebzbz22mssW7aMDz74gHLl8v8X6ePjQ2RkZO7o0DVr1qyhVatWN72mdevW/Pzzz1h/t+rl2LFjVK5c+aZFjohLdJ4AXiXg1BY4tNDoNCJSBKVl5jBnx28NAsU4BVrM/8svvzB27Fj69OlDXFwcAKtWrXJ4C4iRI0cyffp0Zs6cyZEjRxgxYgQxMTEMGTIEgP79+zN69Ojc57/wwgtcvHiRYcOGcezYMVasWMGECRMYOnRoQb4NkYIpGwZtX7Efrx4D6YnG5hGRImfx/l+5nJpF1XIl6FTv5ncppHA4XOhs3LiRBg0asHPnThYvXsyVK1cAOHjwIG+99ZZDr/XEE08wadIkxo0bR6NGjdi0aRMrV64kPDwcgJiYGM6dO5f7/NDQUFavXs3u3btp2LAhL730EsOGDWPUqFGOfhsid6bVi1ChJlw5b98eQkTkKqv1twaBz7aOwEsNAg1lstlsNkcuaNmyJY8//jgjR47E39+f77//nurVq7N792569OjBmTNnXJXVKZKSkggICCAxMZEyZcoYHUfc2c9r4d+PgckCz2+CSvWNTiQiRcDaI+cZ+OUe/P282D76fkr7OjwdVm6ioJ/fDpeZhw4d4tFHH73hfGBgIBcvXnT05UTcV837oV53sOXAipfBsf9nEBEPNW2zfUn5k/eGqcgpAhwudMqWLZvndtI1+/fv11YMUvx0ngjepeD0Dvh+vtFpRMRgP5xJZMeJS1jMJp5uVc3oOEIBCp0nn3ySv/71r8TGxmIymbBarWzdupVXXnmF/v37uyKjSNEVUAXavWY/XvMGpF02No+IGGr61dGchxtWJqRsCYPTCBSgj8748eMZMGAAVapUwWazUa9ePXJycnjyyScZO3asKzKKFG0t/gwHvoL4o7Dub/DQ+0YnEhEDnEtMY/lB+x2PQW2qk5OTQ1ZWlsGp3IuPjw9ms3Mnbzs8GfmaX375hf3792O1WmncuDG1atVyajBX0WRkcYnozfDlw4AJBq2FqpFGJxKRQjbxmyN8vvEEzSPKM+mRaiQkaE88R5nNZiIiIm7aG6+gn98FniVVo0YNatSoUdDLRTxLRBQ07A0H58Py4TB4PVg0CVGkuEjJyOarnTEA/KVFRRISEggKCqJkyZK33NZI8rJarZw9e5Zz584RFhbmtJ+bw7+JbTYbCxcuZP369cTFxeXpUgywePFipwQTcTud/gbHvoHYg7B7OrQYYnQiESkk/9lzmuT0bO4KLkUF72yCgoKoUKGC0bHcTmBgIGfPniU7Oxtvb2+nvKbDN8KGDRtGv379iI6OpnTp0nl2Bg8ICHBKKBG3VDoQOr5tP173N0i6cXWiiHieHKuNmVvtDQKfaRmGyQQlS2qn8oK4dssqJyfHaa/p8IjOv//9bxYvXkzXrl2dFkLEYzQZAPvnwpk98O1oePwLoxOJiIutPhzL6UtplC3pTed6wZw7E6PbVQXkip+bwyM6AQEBVK+uDcpEbspshoc/BJMZDv8Xfv7O6EQi4mLTt9hHc/o2D8fPx2JwGrmew4XO22+/zTvvvENaWpor8oi4v8oNofnV+TkrXoYs/VsR8VT7Yi6z99RlfCxm+rcKNzrOHWnfvj3Dhw83OobTOVzoPP7441y+fJmgoCAaNGhAkyZN8jxEBOjwOviHwOWTsOn/jE4jIi5yrUHgI41CCPL3MziN3IzDc3QGDBjA3r176du3L8HBwboPKXIzvv7Q9Z+woC9s/Qjq/wmC6xmdSkSc6PSlVFb9EAvAoKgIg9MUrszMzJv2uimKHC50VqxYwbfffkubNm1ckUfEc9TtBnUegqMr7L11nllln8MjIh5h1taTWG0QVasid1XyvAa0q1at4oknnuCTTz5h3bp1JCQk0Lx5cz755BN8fHx4+eWXmTp1KocOHQJgyZIlPProo3z66acMHToUgM6dO9OkSRMmTpxo2Pfh8G/d0NBQdRQWya+u/wSf0nB6J+z7wug0IuIkiWlZLNhtbxA4KOr2C3RsNhupmdmGPAq4+QHz58+nV69ezJ49O3cfy7Vr13LkyBHWrFnD8uXLad++PYcPHyY+Ph6AjRs3UrFiRTZu3AhAdnY227Zto127dgXK4CwOj+i8//77vPbaa3z22WdUq1bNBZFEPEhAVbhvLKwaBWvehjpdwb+S0alE5A4t2B1DSmYOtYNL07ZWxds+Ny0rh3pvfltIyfL6cVxnSvo49lE/efJkXn/9dZYuXUqHDh1yz5cqVYrp06fn3rKy2WxUqFCBjRs30rNnTzZs2MDLL7/Mhx9+CMDu3btJT083/A6QwyM6ffv2Zf369dSoUQN/f3/Kly+f5yEi17n3OajcCDISYdVoo9OIyB3KyrEya+tJwL55pyfNVV20aBHDhw9n9erVeYocgAYNGuSZl2MymWjbti0bNmwgISGBw4cPM2TIEHJycjhy5AgbNmygSZMmlC5dmpiYGEqXLp37mDBhQqF9Tw6P6EyaNMkVOUQ8l9kC3T6CaR3g8GK4pw/U7mR0KhEpoJWHznEuMZ2KpX14pFHIHz6/hLeFH8d1LoRkN39vRzRq1Ih9+/Yxa9YsmjVrlqeIK1Wq1A3Pb9++PVOnTmXz5s3cc889lC1blrZt27Jx40Y2bNhA+/btAQgJCeHAgQO51xXmwIhDhU52djZgn1xUqZKG30XyLaQRtPgzbP8UVoyE8B3gW9roVCLiIJvNxvTN9gaB/VtWwy8fhYTJZHL49pFRatSowfvvv0/79u2xWCx8+umnt31++/btGTZsGAsXLswtatq1a8d3333Htm3bGDZsGABeXl7UrFnT1fFvyqFbV15eXrzwwgtkZGS4Ko+I5+rwOpQNg8TT9r2wRMTt7Iq+xKEzifh6mXmqeZjRcVyidu3arF+/Pvc21u3Ur1+fChUqMHfu3NxCp3379ixZsoS0tDTD5+dAAeboNG/enP3797sii4hn8yll3x4CYOdn8OseY/OIiMOmXR3N6RlZlQqlfQ1O4zp16tRh3bp1zJs3j5dffvmWzzOZTLmrqqKiogBo2LAhAQEBNG7cuEis0nZ4LO3Pf/4zL7/8Mr/++iuRkZE33LNr2LCh08KJeJyaHaFhbzg4H5a9CM9tBC/3aLolUtyduHCFtT+dB+DZ1p7XIHDDhg15vq5bty7nz5//w+sWLlyY52uTycTFixedGe2OOFzoPPHEEwC89NJLuedMJhM2mw2TyeTUrdVFPFLnCfDzGoj70d41ud2rRicSkXyYuTUamw3uvyuImkGaY+cuHC50oqOjXZFDpPgoVQEe/AcsHgSb/gn1ukNgbaNTichtXE7JZOHeX4E/bhAoRYvDhU54uHvvzipSJDT4ExxcYB/Z+d9LMGCltocQKcLm7jxFepaVu0PK0KK6esa5kwL9Zp0zZw6tW7cmJCSEU6dOAfb+OkuXLnVqOBGPZTLBwx+AdymI2Q57ZhidSERuISM7hy+32z/rBkd5VoPA4sDhQmfKlCmMHDmSrl27kpCQkDsnp2zZsmomKOKIsmHQ8W378XdvQ0KMgWFE5FaWHTjLheQMKpXx46GGlY2OIw5yuND55JNPmDZtGmPGjMFi+a1RUtOmTXN3MBWRfGo2CMJaQuYV+N8wKOAGfCLiGjabjRlb7HNTB7SuhrdFt5jdjcN/Y9HR0TRu3PiG876+vqSkpDgllEixYTbDI5+Clx/8sg4OzDU6kYj8zpaf4/kpNpmSPhb6NPPMBoGezuFCJyIiIs9+Fdd888031KtXzymhRIqVijWh/dXNPr99HZJjjc0jIrmuNQjs1TSUgJLeBqeRgnB41dWrr77K0KFDSU9Px2azsWvXLubNm8fEiROZPn26KzKKeL6Wf4HD/4VzB2D5SOg91z5hWUQMczQ2mU3HLmA2eWaDwOLC4ULnmWeeITs7m9dee43U1FSefPJJqlSpwkcffUTv3r1dkVHE81m8oMdk+LwdHF1h3+W8fk+jU4kUazO2nACg892VCKtQ0uA0rte+fXsaNWrkcQuLCjSravDgwZw6dYq4uDhiY2M5ffo0AwcOdHY2keIl+G6IurqnzMpX4coFY/OIFGMXkjNYsv8sAIOiNJrjzgo8fTwuLo4jR45w7NgxLlzQL2QRp4h6GYIbQOpFWDFSq7BEDDJn+0kyc6w0DitLZLgaBF4vMzPT6Aj55nChk5SURL9+/QgJCaFdu3a0bduWkJAQ+vbtS2JioisyihQfXj72W1hmLziyzH4LS0QKVXpWDnN22BsEDmpTfLd7WLVqFQEBAcyePZsBAwbQo0cPJk6cSEhICLVr27etuXz5Mv3796dcuXKULFmSLl26cPz4cYOT5+VwoTNo0CB27tzJihUrSEhIIDExkeXLl7Nnzx4GDx7siowixUvlhhD1iv14xStwJc7YPCLFzKJ9v3I5NYuq5UrQ+e7gO39Bmw0yU4x5FHBUeP78+fTq1YvZs2fTv39/ANauXcuRI0dYs2YNy5cvB2DAgAHs2bOHZcuWsX37dmw2G127diUrK+vOf25O4vBk5BUrVvDtt9/Spk2b3HOdO3dm2rRpPPjgg04NJ1JsRb0MP62A84fst7B6zdEqLJFCYLX+1iDwmdYReDmjQWBWKkwIufPXKYjXz4JPKYcumTx5Mq+//jpLly6lQ4cOuedLlSrF9OnT8fHxAeD48eMsW7aMrVu30qpVKwDmzp1LaGgoS5Ys4fHHH3fe93EHHP4brFChAgEBATecDwgIoFy5ck4JJVLs5bmF9T/dwhIpJOuPxnHiQgr+vl480SzU6DiFbtGiRQwfPpzVq1fnKXIAGjRokFvkABw5cgQvLy+aN2+ee65ChQrUqVOHI0eOAFC6dOncx5AhQwrnm7iOwyM6Y8eOZeTIkcyePZvKle17fsTGxvLqq6/yxhtvOD2gSLF17RbWxr/bb2FVi4LSQUanEvFo0682COzTPIzSvg5/RN6cd0n7yIoRvB1bFt+oUSP27dvHrFmzaNasWZ4NTEuVyjsyZLvFbTGbzZZ73e8bDJcpU8ahLM7i8N/ilClT+PnnnwkPDycszN4OOyYmBl9fXy5cuMDnn3+e+9x9+/Y5L6lIcRT1sr2vTuwh+15Yvb/SLSwRF/nhTCLbT1zEYjYxoFU1572wyeTw7SOj1KhRg/fff5/27dtjsVj49NNPb/ncevXqkZ2dzc6dO3NvXV28eJFjx45Rt25dAGrWrFkouW/H4UKnR48ersghIjfj5QOPfn61keBKOPAVNH7K6FQiHuna3JyHGlQmpGwJg9MYp3bt2qxfv5727dvj5eV1ywaCtWrVonv37gwePJjPP/8cf39/Ro0aRZUqVejevXshp741hwudt956yxU5RORWgu+GDq/D2ndg1SiIaAtli9/cARFXik1M53/fq0HgNXXq1GHdunW5Izu3MmvWLIYNG8bDDz9MZmYmbdu2ZeXKlXh7F519wZx0A1JEXKr1MDj6Dfy6C5b+Gfotte98LiJO8cW2k2RbbdwbUZ6GVcsaHccQGzZsyPN13bp1OX/+/G2vKVeuHLNnz3Zhqjun35Qi7sBsgUc/s08sjN4Eu7WBroizpGRk89VOe4PAwVHFt0Ggp1KhI+IuKtSAB8bZj9e8CfE/G5tHxEN8vec0SenZRFQsxf13aWWjp1GhI+JOmg6EiHaQnQb/fR5yso1OJOLWcqw2Zm49CcCzbSIwm7Wq0dMUuNDJzMzk6NGjZGfrF61IoTGb7Y0EfQPgzB7Y/L7RiUTc2pofY4m5lErZkt78qUlVo+OICzhc6KSmpjJw4EBKlizJ3XffTUxMDAAvvfQSf//7350eUESuE1AVHnrPfrzxH3Bmr7F5RNzYtKsNAvs2D6eEz61XFznqVs305PZc8XNzuNAZPXo033//PRs2bMDPzy/3fMeOHVmwYIFTw4nILTR4HO5+DGw5sPg5++Z9IuKQfTGX2XvqMj4WM/1bhTvlNa8tq05NTXXK6xU3mZmZALdd0u4oh5eXL1myhAULFtCiRYs8raHr1avHL7/84rRgInIbJhM89D7E7ICLP9snJz+k21gijphxdTTnkUYhBPn7/cGz88disVC2bFni4uIAKFmyZJ7PSrk1q9XKhQsXKFmyJF5ezut+4/ArXbhwgaCgG2elp6Sk6C9TpDCVLA89/gVzHrUvN6/9INR6wOhUIm7h9KVUvvnhHOD8BoGVKlUCyC12JP/MZjNhYWFOrSccLnSaNWvGihUrePHFFwFyw0ybNo2WLVs6LZiI5EON+6D5ENj5GSwdCi9sh1IVjE4lUuTN2noSqw2ialXkrkrO3WzSZDJRuXJlgoKCyMrKcuprezofHx/MTm6G6nChM3HiRB588EF+/PFHsrOz+eijjzh8+DDbt29n48aNTg0nIvnQ8W04sQEu/ATL/qKNP0X+QPyVDObtsi+kGeTCBoEWi8Wpc02kYBwum1q1asXWrVtJTU2lRo0arF69muDgYLZv305kZKQrMorI7XiXgMemgcXHvvHn3llGJxIp0j7f+AtpWTncUzWAtrUqGh1HXMxkK2Zr4JKSkggICCAxMZEyZZw7XCliqG2fwuox4FUCnt8IgXWMTiRS5MQlp9P2n+tJz7LyxTPNaF9HnZDdRUE/vx0e0enQoQMzZswgMTHR0UtFxJVa/Bmqd7B3TV40ELIzjE4kUuR8tuEE6VlWGoeVpV3tQKPjSCFwuNBp0KABY8eOpVKlSvTs2ZMlS5bkrnsvqMmTJxMREYGfnx+RkZFs3rw5X9fNnz8fk8lEjx497uj9RTyC2Qw9pkCJ8hB7CNa9a3QikSLlfFI6/766eefIB2prpXAx4XCh8/HHH3PmzBmWLl2Kv78/Tz/9NJUqVeK5554r0GTkBQsWMHz4cMaMGcP+/fuJioqiS5cuuR2Xb+XUqVO88sorREVFOfyeIh6rTGXo/i/78bZP4Jf1xuYRKUImr/+ZzGwrzaqVo01Nzc0pLu54jk56ejr/+9//GD9+PIcOHSInJ8eh65s3b06TJk2YMmVK7rm6devSo0cPJk6ceNNrcnJyaNeuHc888wybN28mISGBJUuW5Ov9NEdHioXlI2DPTChdCV7YCqX0S12Kt7MJabT/vw1k5lj5anBzWtXQvwl3U2hzdH4vNjaWzz77jH/84x8cPHiQpk2bOnR9ZmYme/fupVOnTnnOd+rUiW3btt3yunHjxhEYGMjAgQMLlFvE43UaDxXrwJVYWPICFK81ByI3+Nf6n8nMsdI8oryKnGLG4UInKSmJWbNm8cADDxAaGsqUKVPo1q0bx44dY+fOnQ69Vnx8PDk5OQQHB+c5HxwcTGxs7E2v2bp1KzNmzGDatGn5eo+MjAySkpLyPEQ8nk9JeHwWWHzh+GrYMdnoRCKGiY5P4T97TgMw4oHaBqeRwuZww8Dg4GDKlStHr169mDBhAs2aNbvjENdPCLPZbDedJJacnEzfvn2ZNm0aFSvmryKfOHEi77zzzh1nFHE7wXdD5/Gw8hVY8xaEt4KQxkanEilUR84l8fTMXWTl2GhdswItqqtzeHHjcKGzdOlSOnbs6JQWzRUrVsRisdwwehMXF3fDKA/AL7/8wsmTJ+nWrVvuOavVCoCXlxdHjx6lRo0aea4ZPXo0I0eOzP06KSmJ0NDQO84u4haaDbJ3Tf5pOSx8Fp7fBL7+RqcSKRS7oi8x8MvdJKdnUyfYn/cfb2R0JDGAw9VKp06dnLYPhY+PD5GRkaxZsybP+TVr1tCqVasbnn/XXXdx6NAhDhw4kPt45JFH6NChAwcOHLhpAePr60uZMmXyPESKDZMJHvkEylSFSydgxStGJxIpFN8ejqXvjJ0kp2fTrFo5/vN8SyoFOGeHcnEv+RrRadKkCWvXrqVcuXI0btz4tr0H9u3b51CAkSNH0q9fP5o2bUrLli2ZOnUqMTExDBkyBID+/ftTpUoVJk6ciJ+fH/Xr189zfdmyZQFuOC8iV5UsDz2nwRcPwcH5UL09NOpjdCoRl5m3K4Yx/z2E1QYd6wbz6ZON8fPWnlPFVb4Kne7du+Pr65t77MwmS0888QQXL15k3LhxnDt3jvr167Ny5UrCw8MBiImJcfpOpiLFTngraD8a1o+HFSOhShNtESEex2az8dHa40z67jgAvZuF8rce9fGy6DOkONNeVyLFhTUH5jwK0RshsC4MXmdfnSXiAbJzrIxd8gPzd9tXV714X011P/YwhdZHp3r16ly8ePGG8wkJCVSv7rrt7kXkDpkt0HM6lA6GC0fgm9eMTiTiFKmZ2Tw/Zy/zd5/GbIK/9ajPy53qqMgRoACFzsmTJ2/a/TgjI4Nff/3VKaFExEVKB8Fj0wAT7J8D3y8wOpHIHbmUksmT03ay9qc4fL3MTOkbSd8W4UbHkiIk38vLly1blnv87bffEhAQkPt1Tk4Oa9euJSIiwrnpRMT5qreD9qNgw0T7VhEhjSFQTdTE/ZyMT2HArF2cvJhKQAlvZjzdlKbVyhsdS4qYfM/RuTYh2GQycf0l3t7eVKtWjffff5+HH37Y+SmdSHN0RLg6X6cHRG+CoLth0HearyNuZX/MZQZ+uYdLKZlUKVuCL59tRs0g9YjyZC6fo2O1WrFarYSFhREXF5f7tdVqJSMjg6NHjxb5IkdErjJb4LHpUCoI4g7Dipe1H5a4jdWHY+kzbQeXUjKpX6UM//1zKxU5cksOz9GJjo7O9/YLIlKE+QfDn2aCyQzff2WfsyNSxM3efpIh/95LepaV9nUCWfBcS4LKqBGg3JrDW0AApKSksHHjRmJiYsjMzMzzZy+99JJTgolIIYiIgvvegLXv2LsmV24ElRsanUrkBlarjQkrjzB9SzSgHjmSfw730dm/fz9du3YlNTWVlJQUypcvT3x8PCVLliQoKIgTJ064KqtTaI6OyHWsVpjfB46tgnIR8NwGKFHW6FQiudIycxix4ACrDtv3RXylU22Gdqip5ePFTKH10RkxYgTdunXj0qVLlChRgh07dnDq1CkiIyN57733HH05ETGa2Qw9pkDZMLgcDUuHar6OFBkXkjPoPW0Hqw7H4mMx81HvRvzlvloqciTfHC50Dhw4wMsvv4zFYsFisZCRkUFoaCj//Oc/ef31112RUURcrWR5ePxLsPjYdzrf+pHRiUT4OS6ZRydv5fvTCZQt6c2/BzWne6MqRscSN+NwoePt7Z1bSQcHBxMTEwNAQEBA7rGIuKEqTaDLP+zHa9+BExuNzSPF2pbj8Tw6eRu/Xk4jvEJJFr/Qinsj1CNHHOdwodO4cWP27NkDQIcOHXjzzTeZO3cuw4cPp0GDBk4PKCKFKPIZaPQU2Kyw8BlIVLdzKXzzdsXw9KxdJKdn0zS8HItfaEX1wNJGxxI35XChM2HCBCpXrgzAu+++S4UKFXjhhReIi4tj6tSpTg8oIoXIZIKH3ofK90DqRVjQD7LSjU4lxUTO1ZVVoxcfIsdqo0ejEOYObk6F0r5GRxM3pt3LReRGl0/B1HaQdhmaPA2PfGx0IvFwKRnZjFhwgNU/ngdgRMfavHS/VlbJbwpt1ZWIFAPlwqHnDMAE+76EfbONTiQe7GxCGo9/tp3VP57PXVk1rKNWVolz5KthYOPGjfP9H9y+ffvuKJCIFBE174f7xsC6v9m3iAiqB1WbGp1KPMz+mMsMnr2X+CsZVCztw+f9IokM16RjcZ58FTo9evRwdQ4RKYravAxnD9iXnC/oC89ttG8dIeIESw+c4dWFB8nMtnJXJX+mP92UquW0uaw4l+boiMjtZSTD9I5w4ScIbQ5PLwcvH6NTiRuzWm18+N0xPln3MwAd6wYxqXdjSvsWaFciKSYKdY5OQkIC06dPZ/To0Vy6dAmw37I6c+ZMQV5ORIoyX3/o/RX4BsDpnfDNq0YnEjeWkpHNkH/vzS1ynm9Xnc/7NVWRIy7j8H9ZBw8epGPHjgQEBHDy5EkGDx5M+fLl+e9//8upU6eYPVuTFkU8ToUa9p3O5/4J9n5hX37e9FmjU4mbOX0plcGz9/BTbDI+FjMTH2tAz8iqRscSD+fwiM7IkSMZMGAAx48fx8/PL/d8ly5d2LRpk1PDiUgRUqsjdHzLfrzyVTi13dg84lZ2nLjII59u4afYZAL9fZn/fAsVOVIoHC50du/ezfPPP3/D+SpVqhAbG+uUUCJSRLUeDnc/CtZs++TkBG37Irdns9mYs+MUfafv5HJqFg2qBLDsL61pElbO6GhSTDhc6Pj5+ZGUlHTD+aNHjxIYGOiUUCJSRJlM0P1fUKkhpMbDvD6QccXoVFJEZWTnMHrxId5Y8gPZVhuP3BPC10NaUjmghNHRpBhxuNDp3r0748aNIysrCwCTyURMTAyjRo2iZ8+eTg8oIkWMTynoMw9KBcH5H+C/z4PVanQqKWLiktLpM3UH83efxmyC0V3u4qPejfDzthgdTYoZhwud9957jwsXLhAUFERaWhrt2rWjZs2a+Pv7M378eFdkFJGiJqAq9J4LFh97j531+rcvv9kfc5mHP9nCvpgEyvh5MeuZe3m+XQ11OhZDFLiPzrp169i3bx9Wq5UmTZrQsWNHZ2dzCfXREXGiA/NgyRD7cc8Z0OBPxuYRw83bFcNbSw+TmWOlVlBppvVvSrWKpYyOJR6goJ/fTm0YeObMGapUqeKsl3MJFToiTrb6Ddj2MXj5wYAV2iaimMrIzuHtZT8yb5d9gnqnesF88EQj9ccRp7SBhrUAACAASURBVDF0U8/Y2FhefPFFatas6YyXExF30vFtqP0gZKfDvN5aiVUMxSam03vqDubtisFkglc71+GzvpEqcqRIyHehk5CQwFNPPUVgYCAhISF8/PHHWK1W3nzzTapXr86OHTuYOXOmK7OKSFFktkDP6RBcH1IuwFdPQPqNKzPFM+08cZGHP9nC/mvzcQY0Y2iHmpjNmo8jRUO+y+3XX3+dTZs28fTTT7Nq1SpGjBjBqlWrSE9P55tvvqFdu3auzCkiRZmvPzy5AKbdB3E/wsJnoc98sOj/6D2VzWZj+uZo/r7qJ3KsNu6q5M/n/SIJr6D5OFK05HtEZ8WKFcyaNYv33nuPZcuWYbPZqF27NuvWrVORIyL2lVh95oNXCfh5DXw72uhE4iJXMrIZ+tU+xq88Qo7VRo9GISz+cysVOVIk5bvQOXv2LPXq1QOg+v+3d+dxUZb7/8dfw7ApmyAKiICCJS5piWWIpKdFLVssLdvMSk/2O1amndOx1VZbT1nfji3WOXla1FIrK/OoGeaCdTTXcEdFVERRFkFglvv3x10YiTWYzDDD+/l4zIPmnnuGD1c48+a6ryU5meDgYEaNGtVghYmIF4rvAde8Zf7392/Byjc8W4+cdtsLy7jqtWXM21BAgNXCE1d14eVhZ9M8UL130ji5HHScTicBAQE1961WKyEhSu8i8iudrzQHKAPMnwCbv/RkNXIazV23jytfW86Og+XEhgcz4450bklvp/VxpFFzOYIbhsGtt95KUFAQAJWVldx5550nhJ05c+ac3gpFxPtk3AuHd8IP02DWyJ+mnad5uio5RVV2B09/uYn/ZO8GID25Jf934zlEhwZ5uDKR3+dy0BkxYkSt+zfffPNpL0ZEfITFAoNegtK9sH0RfHgdjFoEUe09XZnUU/6RCsZ88APr8ksAuOtPHRh3yZlYNatKvMRpXTDQG2jBQBE3qiqDf18GBeuhZQcYuRCaR3m6KnHR4s0HGDdzHSXHbEQ0C2DysLP5U2prT5clTZRHFwwUEalTUBjc+BFEJEDRdnO3c1ulp6uS32FzOHlm3iZuf3cVJcdsdG8bwZf39FHIEa+koCMiDSs8Dm76GIIiYM9KmDMKnA5PVyUnsbf4GMPezObNb3MBuLV3Oz66M522kc09XJnIqVHQEZGG17rT8d3ON30OX90PTeuquVdYvPkAg15dyg95xYQF+/PGzT147MouBPlbPV2ayClT0BER92if+dMaOxb439uw9EVPVyQ/qbY7eeqLHG5/dxXFFTa6tY3gy7szGdg1ztOlifxhWuFJRNyny9VwtNDs0Vn8FITGQo/hnq6qSdtdVM7d09ew/qdZVbf2bscDl6WqF0d8hoKOiLhXr9FQVgDLXoLPx0JIK+g40NNVNUlz1+3jwTkbOFplp0XzAF4Y2p1LOsd4uiyR00qXrkTE/S56FLrfCIYDPh4Bu7M9XVGTUlFt5++z1nPP9DUcrbJzbrtI5t2TqZAjPklBR0Tcz2KBK1+FMwaAvRI+HAYFGzxdVZOwcW8Jl7+6jJmr9mCxwN0XdmD6n8+nTYtmni5NpEEo6IiIZ1gD4Np3ITEdqkrgvWugaIenq/JZTqfB1G9zuXrKcnIPmXtVfTjqfO7r3xF/qz4KxHfpt1tEPCewOdwwA2LOgvJCeG8wlO7zdFU+p7C0klvf/R9Pz9uEzWHQv3MMX43NJD2lpadLE2lwCjoi4lnNWsDwORCVDMV5Zs9OxWFPV+UzFvxYwMBXlvLt1oMEB/jx9NVdeXN4GpEhgZ4uTcQtFHRExPNCW8PwTyEsDg5ugvevgcpST1fl1Sqq7TwwZwN3vLeaw+XVdIoL5/O7+nBTryQsFm3IKU2Hgo6INA6RSWbYad4S9q0xdzyvLvd0VV5pfX4xl7+6jOnf52GxwB0XJPPpmN6cERPm6dJE3E5BR0Qaj9apcPMcc1+svGyYcRPYqzxdldewO5y8smgbV09ZUTPg+IORvXjwsk5aAFCaLAUdEWlc2pxtbgIaEAK538DHt4HD5umqGr3cg0cZ8kY2Ly/aisNpMKhbHPPvzaR3h2hPlybiUQo6ItL4JPaCG6aDNQi2fAmfjNaO5ydhGAbvrdzNZa8uZd2eYsKD/Xnl+rN57YZzaNFcA45FtAWEiDROyX1h2Psw40bYOBv8AmDwFPDTJZif7Ss+xt9nr2fptkMAZHRoyYvXdicuQov/ifxMQUdEGq8z+8O1/4aPRsD6GWbIufI18GvandGGYTD7h708PvdHyqrsBPn7MeHSVEakt8PPTzOqRH5JQUdEGrdOV8DQd2DWSFj7gRl2Ln+lyYadwrJKHpyzkUWbDgBwTmILXry2OymtQj1cmUjjpKAjIo1fl6vNMTpz/gw//AcsVrj8ZXPPrCbCMAzmrtvHxLk/UlxhI8BqYdwlZ3JHZrK2cBD5DQo6IuIdzhoKhhPm3AGr/22GnMv+0SR6dgrLKnn4k40syDF7cTrHhfOP67rTKS7cw5WJNH6N4h1iypQptG/fnuDgYNLS0li6dOlJz506dSqZmZlERkYSGRnJxRdfzPfff+/GakXEY7pdB4NfByyw6l/wxb3gdHq6qgZjGAafrtnLJS99y4KcAwRYLYy/5Ew+uytDIUfERR4POjNnzuTee+/loYceYs2aNWRmZnLppZeSl5dX5/lZWVnccMMNfPPNN2RnZ5OYmEj//v3Zu3evmysXEY84+wa4+k2w+MEP02Du3T459Xx/yTFGTVvFvTPXUnLMRtf4cObe1Yd7LjqDAF2qEnGZxTAMw5MF9OrVix49evD666/XHOvUqRODBw/mmWee+d3nOxwOIiMjee2117jlllt+9/zS0lIiIiIoKSkhPFx/EYl4rQ2zzDE7hhO63wBX/dMnpp4bhsH07/fwzLxNlFXZCbBauOfCM7izX4oCjjRpp/r57dExOtXV1axevZoJEybUOt6/f39WrFjh0mtUVFRgs9mIioqq8/Gqqiqqqo4vIV9aqo0CRXzCWUPNXp3Zo2DddHDaYfAbYPXeoYe7i8qZMHsD2blFAJyd0IIXhnbTHlUif4BH3xEOHTqEw+EgJiam1vGYmBgKCgpceo0JEyYQHx/PxRdfXOfjzzzzDI8//vgfrlVEGqGu15i9OLNuhw0fg+0YDP0X+Ad5urJ6sTucvL1sJ5MXbaXS5iQ4wI+/9u/IbRntsWpdHJE/pFH0g1p+NUXUMIwTjtXl+eefZ/r06cyZM4fg4OA6z3nggQcoKSmpue3Zs+e01CwijUTnq8wVlK2BsPkLcyXl6gpPV+WyDfklXPnacp79ajOVNie9U1qy4N6+jMpMVsgROQ082qMTHR2N1Wo9ofemsLDwhF6eX3vxxReZNGkSixYtolu3bic9LygoiKAg7/rrTkTqqeOlcONHZsjZvgg+uBZunAFBjfeST0W1nZcWbOVfy3fiNCCiWQAPD+rE0LS2Lv2hJyKu8WiPTmBgIGlpaSxcuLDW8YULF9K7d++TPu+FF17gySefZP78+fTs2bOhyxQRb5DyJxj+CQSFw+5l8J+roOKwp6uq06KcA1zy0re8vcwMOVd2b8PX9/Xl2p4JCjkip5nHR+2NHz+e4cOH07NnT9LT03nrrbfIy8vjzjvvBOCWW24hPj6+ZgbW888/zyOPPMKHH35Iu3btanqDQkNDCQ3VEugiTVri+TBiLrx3NexdDe8OgpvnQHicpysDzCnjj839kf/+aC78F9+iGU8N7sqfUlt7uDIR3+XxoDNs2DCKiop44okn2L9/P127dmXevHkkJSUBkJeXh98vVj6dMmUK1dXVDB06tNbrTJw4kccee8ydpYtIY9TmHLh1nhl2CnPgX/1h+KfQMsVjJdkdTqZl7+alBVsor3Zg9bMwKrM9Yy86g+aBHn8bFvFpHl9Hx920jo5IE3Fklxl2DudCSCu4eTbEdXd7Gat3H+bhT39k035zaYseiS2YdM1ZpMbq/UekPrxyHR0RkQYT2Q5u/y+8fw0UbIB3L4cbpkO7Pm759ofLq3nuq83MXGXO9IxoFsD9Aztyw7mJ+Gk2lYjbNIrp5SIiDSK0Ndz6JSRlQFUpvHcN5HzWoN/S4TT48Ls8LvxHVk3IuTatLYvv68tNvZIUckTcTJeuRMT32Y7BrJGw5UvAApc+D73uOO3f5oe8I0z87Ec27C0BIDU2jKcGd6Vnu7pXbhcR1+nSlYjIyQQ0g+v+A1/9zdz1/Ku/QWk+XPQY+P3xju2DZVU8N38zs1bnAxAW5M+4S87klvQk/LU/lYhHKeiISNNg9YdBL0F4PCx+Epa/AqX7zc1A/QNP6SWr7U7+k72LVxZto6zKDpiXqe4fmEqrMC1UKtIYKOiISNNhscAFf4XwNjD3btjwEZTth2HvQbPIer3UN1sKefKLHHIPlgPQNT6cx6/sSlpS/V5HRBqWgo6IND1n32gOVP5oBOxaCu/0N7eQiGr/u0/NPXiUp77cxOLNhQBEhwbytwEdGZqWoL2pRBohDUYWkaarYCN8OMwcr9O8JVw/HRJ71XlqcUU1r3y9jfeyd2N3GgRYLdyW0Z67LuxAeHCAmwsXaXpO9fNbQUdEmrayAjPs7F8L1iAYPAXOOr7yerXdyfsrd/PK19soOWYD4KLU1jw0qBPJrbTtjIi7aNaViMipCIuF2+bBnDtg8xcweyQc2orR9+/8N+cgz83fzM5D5jic1NgwHh7UmT5nRHu4aBFxlXp0REQAnA5Y+ChkvwZAdlAGt5eM5BjBRIcGcl//jlzXU+NwRDxFPToiIn+En5XdPR/k29wQriv4B+lVy5kTlM/StFe5oX8GYRqHI+KVFHREpMk7WFbF/y3exoff5WF3dudTv4d5t9krdHLsptPmkdD9fUhK93SZInIKFHREpMkqq7Qx9dtc3l62k4pqBwB9z2zFA5dlEhY8FGbcYG4IOu1yGPgsnDvKXItHRLyGgo6INDmVNgfvr9zNlKwdHC6vBqB7QgsmDEwlPaXlT2eFm7uffzYGfvwE5v0V9q2BQf8wt5QQEa+goCMiTYbN4eTjVfm8+vU2CkorAUiODuFvAzoysGssll/31gSGwNB/Q5sesGgirP0ADmyEYe9Di0QP/AQiUl8KOiLi8xxOg8/X7ePlRVvZXVQBQJuIYO656AyGpLUl4Lc23rRYIOMeiOsOs26D/evgzb4w5G3ocJGbfgIROVWaXi4iPsvpNJi3cT+TF21je+FRwNyy4S/9OnBjr0SCA6z1e8HiPTDzZnNxQSzQ937o+3fwq+friEi9aWVkFynoiPg+p9NgQU4BLy/cxpYDZQBENAvgjguSubV3O0KC/kBntq0S5k+A1f8277f/qXcntPVpqFxETkZBx0UKOiK+y+k0mP9jAa9+vY3NBWbACQv2Z1SfZG7r0+707km1/iP4fCzYKiA0Fob+C9plnL7XF5FatGCgiDRZDqfBlxv289ribWw9YF6iCg3y57aMdozqk0xE8wZY7K/bdRDbDT4eAQc3m1PQ+/4dMv8KVr21ijQW6tEREa9lczj5bO0+pmRtJ/eguR9VWLA/t2W05/aMdrRoHtjwRVSXw5d/hXUfmvcTe8OQqRDRtuG/t0gToktXLlLQEfF+lTYHH6/O580lO8g/cgyA8GB/RvZJ5taMdkQ088B2Des/gi/GQfVRCG4BV70Gna5wfx0iPkqXrkTE55VV2vjwuzzeXraTg2VVgDmLamSfZG4+P9Gz+1F1uw7i08zdz/etMWdn9RgBAyZBUKjn6hJp4tSjIyKNXmFZJf9evov3s3dTVmUHzHVwRvdNYdi5CfWfJt6Q7NWw+AlY8X/m/cj2cM1bkHCeZ+sS8XK6dOUiBR0R77Hj4FHeXrqT2T/kU213ApDSKoTRfVMYfHY8gf6/sdCfp+UugU//AqX5YPGDzPvMwcpW7YIucioUdFykoCPSuBmGwfc7DzN1aS6LNhXWHO+R2II7+6ZwcacY/Py8ZGPNY8Xw1f2wfqZ5P647DH4dYrp4ti4RL6Sg4yIFHZHGyeZw8tXGAt5Zmsu6/BLA3H3hotQY7rggmXPbRZ64F5W3+PETc6DysSPgF2CuqNxnnHp3ROpBQcdFCjoijcuR8mo+/D6P97J312y0GeTvx5C0tozs056UVj4ykLeswAw7W+aZ92O7weApEHuWZ+sS8RIKOi5S0BFpHDYXlDJtxW4+WZNPpc0cfxMdGsTN5ycy/PwkWoYGebjCBmAYsGEWfPW3n3p3/KHPeHP8TkCwp6sTadQUdFykoCPiOTaHk4U5B5i2Yhff7Txcc7xLm3Buz2jP5d3jCPJvRDOoGkrZAfhyPGz+wrzfsgNcPhnaZ3q2LpFGTEHHRQo6Iu5XWFrJjP/t4cPv8mouT1n9LAzsEsst6Umc1z7Ke8ffnCrDgJzPzMHKRw+Yx865GS55EppHebY2kUZIQcdFCjoi7uF0GqzYUcQH3+1mYc4B7E7zrSY6NJAbzkvkxl6JxEU083CVjcCxYvj6cVj1L/N+82i45HHofiP4NeLp8yJupqDjIgUdkYZ16GgVs1bnM/N/e9h5qLzm+LntIrmpVxKXnhXbNC5P1VfeSnM39IObzfttz4NBL5pT0kVEQcdVCjoip5/TabB0+yFmfJ9Xq/cmNMifa3rEc1OvJDrGhnm4Si9gr4bv3oCsZ8FWbi402HMkXPgQNIv0dHUiHqWg4yIFHZHTZ8/hCj5enc/s1fnsLT5Wc/zshBbccF4Cl3drQ0iQttSrt9J9sOBh2DjbvN8sCvo9AD1v09o70mQp6LhIQUfkjymvsjN/YwEfr97DytzjM6fCg/25pkdbrj8vgdRY/ds6LXKXwFd/h4ObzPvRHWHA03DGJZ6tS8QDFHRcpKAjUn8Op0H2jiLmrMln/sYCKqodgLlycZ8O0VzbM4H+nWMa1+aavsJhhx/ehW8mQUWReSzlInPAshYblCZEQcdFCjoirjEMg037y/hs3V4+W7OvZlo4QFLL5gzt0ZZr0toS30Izp9ziWDEsfRFWvgFOG2CBs641x+9EtvN0dSINTkHHRQo6Ir8tr6iCuev28tnafWwrPFpzPDzYnyu6t+GaHm3pkdii6a1701gU7YDFT8GPc8z7fgHQ83a44G8Q2sqztYk0IAUdFynoiJxob/Ex5q3fzxfr99VsqAkQ6O/HhR1bc9XZbbiwU2tNC29M9q2BRY9D7jfm/YDmcO4oyBgLIdGerU2kASjouEhBR8SUf6SC+RsL+HLDftbkFdcc97NARodoruzehgFdYwkP1iyfRi03yww8+34w7weEwHl/ht73QEhLj5Ymcjop6LhIQUeastyDR/lqYwHzNxawYe/xnhuLBXq1j2JQtzYM7BJLqzAf3FDTlxkGbFtgDljev9Y8FhBiTkdPvwvC4zxbn8hpoKDjIgUdaUqcToO1+cUszDnAwpwDbP/FmBs/C5zbLopLu8Zy2VlxtA7X7tlezzBg63wz8BSsN49ZA6H79ZBxL7RM8Wx9In+Ago6LFHTE11VU21m+vYjFmw+waFMhB8uqah7z97PQu0M0A7vE0r9LDNGh6rnxSYYB2xbCspcgL9s8ZvGDTlfA+WMg4TyzG0/EiyjouEhBR3xRXlEF32wp5OvNhazMLaLa7qx5LDTIn34dW3FJ5xj6dWxNRDONuWlSdmfDspdh23+PH2vTA9LHQOertNKyeA0FHRcp6IgvqKi2szK3iCVbDrJk60F2FVXUerxtZDMuSm3NhZ1iSE9uSaC/dsFu8g7kwMopsP4jcPzUyxfWBtJuhR7DIbyNR8sT+T0KOi5S0BFvZHc42bC3hOXbD7Fs+yF+2F1MteN4r42/n4UeSZFmuEltTYfWoVrnRupWfghW/Qu+nwrlheYxixU6XgrnjoT2/cBPwVgaHwUdFynoiDdwOg02FZSyMvcwK3OLWJlbRFmlvdY5bSOb0ffMVvQ9sxXpKS0J0zRwqQ97FeTMNUNP3orjx1skwdk3mQOYI5M8V5/IryjouEhBRxoju8PJj/tK+d+uw3y/8zDf7TxMyTFbrXPCg/3pnRJNxhnRZKS0pH10iHpt5PQo3ASr/g3rpkNV6fHj7TLN0NPpcggK81x9IijouExBRxqDkmM21u4p5ofdR1i9+wg/5B2p2SjzZyGBVs5tH8X5yS1JT25J1/gIrH4KNtKAqitg0+ew9gPY+S3w08eDfzCcOQC6DoEz+kOA9jcT91PQcZGCjrib3eFky4Ey1ueXsDavmB/yjrD94FF+/S8vPNifc9tF0bNdFOcnR3FWfAT+Vo2VEA8pzoN1M81ensM7jh8PDDXH86ReDh0uUk+PuI2CjosUdKQh2R1OdhwsZ+PeEjbuK2FDvvm10uY84dzEqOb0SGxBWlIk57aP4szWYfipx0YaG8MwFx/cOBs2zoGSPccfswZCcj/oeJnZ46OZW9KAFHRcpKAjp0tppY3N+8vYXFDKpv1l5OwvZfP+UqrsJ4aasCB/zmobQbe2LeiR2IJzEiO1zYJ4H8OA/P/Bprmw+Us4nFv78dadIeVCs6cnsTcEaLVtOX0UdFykoCP1VVZpY3vhUbYVHmXbgbKfvh5lb/GxOs8PDfKnc1w4XeLD6domgu4JLUiODlFvjfgWw4CDW2DzF7DlK9i7mpoxPWCO62l7LrTrA0kZ5n8r+MgfoKDjIgUdqUtFtZ28wxXsLqpgd1E5Ow+Vs+NgObkHyzl0tOqkz4tv0YzU2DBS48JIjQ2na3wESVHNFWqk6ak4DLnfwPbFsH0RHC2o/bg1EOLOhrY9IT7N/NoiSVtRiMu8OuhMmTKFF154gf3799OlSxcmT55MZmbmSc+fPXs2jzzyCDt27CAlJYWnn36aq6++2qXvpaDT9BiGQVmVnYKSSvaXVLL3yDHyj1Swt/gY+UeOsedwBYVlJw8zAK3DgjgzJowOrUM5MyaMM2LMr9pOQaQOhgGHtsGupbB7OexafmLwAWgeDbFdIaYrxJ5lfo0+E/wD3V+zNHpeG3RmzpzJ8OHDmTJlChkZGbz55pu8/fbb5OTkkJiYeML52dnZZGZm8uSTT3L11VfzySef8Oijj7Js2TJ69er1u99PQcd3VNocHC6v5nB5NUXl1Rwur+Jg2fFbYVkVB0orKSippPxXU7frEtEsgKSWzUmMak5ydAjJrUJJbhVC++gQLcYn8kcYhjmeJ/9/kL8K9q6Cgo3gtJ14rsXP7Olp2QGiz4CoZPN+RFvzFqz37abKa4NOr1696NGjB6+//nrNsU6dOjF48GCeeeaZE84fNmwYpaWlfPXVVzXHBg4cSGRkJNOnT//d79dQQafK7qi1S7SYDAOchoHTAIfTwDAMbA4Dm8OJzeGk2uGkyu6kyubgmM1Bpc3JsWoH5VV2jlbbKa+yU17loKzSTukxGyW/uB2z/X54+aWIZgHEhgcTH9mMtpHNiG/RjLaRzWkb2Yykls1p0Vx/RYq4ja0SCn80A8+BjT99/RGqSn77ecER5h5dIdEQ0gpCW5s9Q8ER5lT3n2+BIeDnb14yswaC1d8MUeIe1iAIizmtL3mqn9/+p7WKeqqurmb16tVMmDCh1vH+/fuzYsWKOp+TnZ3NuHHjah0bMGAAkydPrvP8qqoqqqqOB5DS0tI6z/ujftxXyjVT6q5ZGk6A1UJk80CiQgJpGRpIq9AgWoUdv7UOCyYuIpjYiGCaB3r0111Efikg2ByrE592/JhhwNED5mWvou3m7XAuFO8xp7VXFkNliXk76LnSxQVtz4NRCz1dBeDhoHPo0CEcDgcxMbVTX0xMDAUFdVzPBQoKCup1/jPPPMPjjz9+egr+DRYgSDtEn8BiAavFgp/FgsUCfn4WAqx+BFr9CLBaCPT3I8DqR7MAK80CrQT5WwkO8CM0yJ+QIH9Cf7qFBPkT0Syg1q1FSABhQf7aBkHEV1gsEBZr3trXMU6zqgxK8qGswNyctPzg8VtVWe2brRwcdnBUm5fIHDZOWKUTjw9R9V3WxtND3ij+xP31B5VhGL/54VWf8x944AHGjx9fc7+0tJSEhIQ/UG3dzkmMZMtTl5721xURkZ8EhUHrTuZNxEUeDTrR0dFYrdYTemMKCwtP6LX5WWxsbL3ODwoKIihIC7OJiIg0RR691hIYGEhaWhoLF9a+jrdw4UJ69+5d53PS09NPOH/BggUnPV9ERESaLo9fuho/fjzDhw+nZ8+epKen89Zbb5GXl8edd94JwC233EJ8fHzNDKyxY8dywQUX8Nxzz3HVVVfx2WefsWjRIpYtW+bJH0NEREQaIY8HnWHDhlFUVMQTTzzB/v376dq1K/PmzSMpKQmAvLw8/PyOdzz17t2bGTNm8PDDD/PII4+QkpLCzJkzXVpDR0RERJoWj6+j425aMFBERMT7nOrnt+ZDi4iIiM9S0BERERGfpaAjIiIiPktBR0RERHyWgo6IiIj4LAUdERER8VkKOiIiIuKzFHRERETEZynoiIiIiM/y+BYQ7vbzQtClpaUerkRERERc9fPndn03dGhyQaesrAyAhIQED1ciIiIi9VVWVkZERITL5ze5va6cTif79u0jLCwMi8VyWl+7tLSUhIQE9uzZo320GpDa2T3Uzu6hdnYftbV7NFQ7G4ZBWVkZbdq0qbXZ9+9pcj06fn5+tG3btkG/R3h4uP4RuYHa2T3Uzu6hdnYftbV7NEQ716cn52cajCwiIiI+S0FHREREfJb1sccee8zTRfgSq9VKv3798PdvclcF3Urt7B5qZ/dQO7uP2to9GlM7N7nByCIiItJ06NKViIiI+CwFHREREfFZCjoiIiLisxR0RERExGcp6NTTlClTaN++PcHBwaSlpbF06dLfPH/27Nl07tyZoKAgOnfuzCeffOKmSr1bfdp56tSpZGZmEhkZSWRkJBdffDHff/+9G6v1XvX9ff7ZjBkzsFgsDB48uIEr9A31befi4mLGjBlDXFwcUPidzQAACU1JREFUwcHBdOrUiXnz5rmpWu9V33aePHkyHTt2pFmzZiQkJDBu3DgqKyvdVK13+vbbb7niiito06YNFouFTz/99Hefs2TJEtLS0ggODiY5OZk33njDDZX+giEumzFjhhEQEGBMnTrVyMnJMcaOHWuEhIQYu3fvrvP8FStWGFar1Zg0aZKxadMmY9KkSYa/v7+xcuVKN1fuXerbzjfeeKPxz3/+01izZo2xadMm47bbbjMiIiKM/Px8N1fuXerbzj/btWuXER8fb2RmZhpXXXWVm6r1XvVt56qqKqNnz57GZZddZixbtszYtWuXsXTpUmPt2rVurty71Led33//fSMoKMj44IMPjJ07dxr//e9/jbi4OOPee+91c+XeZd68ecZDDz1kzJ492wCMTz755DfPz83NNZo3b26MHTvWyMnJMaZOnWoEBAQYs2bNclPFhqGgUw/nnXeeceedd9Y6lpqaakyYMKHO86+77jpj4MCBtY4NGDDAuP766xusRl9Q33b+NbvdboSFhRnTpk1riPJ8xqm0s91uNzIyMoy3337bGDFihIKOC+rbzq+//rqRnJxsVFdXu6M8n1Hfdh4zZoxx4YUX1jo2fvx4o0+fPg1Wo69xJejcf//9Rmpqaq1jo0ePNs4///yGLK0WXbpyUXV1NatXr6Z///61jvfv358VK1bU+Zzs7OwTzh8wYMBJz5dTa+dfq6iowGazERUV1RAl+oRTbecnnniCVq1aMXLkyIYu0SecSjvPnTuX9PR0xowZQ0xMDF27dmXSpEk4HA53lOyVTqWd+/Tpw+rVq2suc+fm5jJv3jwGDRrU4PU2JSf7HFy1ahU2m80tNXh+yUIvcejQIRwOBzExMbWOx8TEUFBQUOdzCgoK6nW+nFo7/9qECROIj4/n4osvbogSfcKptPPy5ct55513WLt2rTtK9Amn0s65ubksXryYm266iXnz5rFt2zbGjBmD3W7n0UcfdUfZXudU2vn666/n4MGD9OnTB8MwsNvt/L//9/+YMGGCO0puMk72OWi32zl06BBxcXENXoOCTj1ZLJZa9w3DOOHYHzlfTKfabs8//zzTp08nKyuL4ODghirPZ7jazmVlZdx8881MnTqV6Ohod5XnM+rz++x0OmndujVvvfUWVquVtLQ09u3bxwsvvKCg8zvq085ZWVk8/fTTTJkyhV69erF9+3bGjh1LXFwcjzzyiDvKbTLq+v9S1/GGoqDjoujoaKxW6wl/HRQWFp6QVn8WGxtbr/Pl1Nr5Zy+++CKTJk1i0aJFdOvWrSHL9Hr1becdO3awa9currjiippjTqcTAH9/f7Zs2UJKSkrDFu2FTuX3OS4ujoCAAKxWa82xTp06UVBQQHV1NYGBgQ1aszc6lXZ+5JFHGD58OKNGjQLgrLPOory8nDvuuIOHHnoIPz+N7DgdTvY56O/vT8uWLd1Sg/5PuigwMJC0tDQWLlxY6/jChQvp3bt3nc9JT08/4fwFCxac9Hw5tXYGeOGFF3jyySeZP38+PXv2bOgyvV592zk1NZUNGzawdu3amtuVV17Jn/70J9auXUtCQoK7Svcqp/L7nJGRwfbt22uCJMDWrVuJi4tTyDmJU2nnioqKE8KM1WrFMCfpNFitTc3JPgd79uxJQECAe4pw27BnH/Dz9MV33nnHyMnJMe69914jJCTE2LVrl2EYhjF8+PBaI/yXL19uWK1W49lnnzU2bdpkPPvss5pe7oL6tvNzzz1nBAYGGrNmzTL2799fcysrK/PUj+AV6tvOv6ZZV66pbzvn5eUZoaGhxl133WVs2bLF+OKLL4zWrVsbTz31lKd+BK9Q33aeOHGiERYWZkyfPt3Izc01FixYYKSkpBjXXXedp34Er1BWVmasWbPGWLNmjQEYL730krFmzZqaafwTJkwwhg8fXnP+z9PLx40bZ+Tk5BjvvPOOppc3dv/85z+NpKQkIzAw0OjRo4exZMmSmsf69u1rjBgxotb5H3/8sdGxY0cjICDASE1NNWbPnu3mir1Tfdo5KSnJAE64TZw40f2Fe5n6/j7/koKO6+rbzitWrDB69eplBAUFGcnJycbTTz9t2O12N1ftferTzjabzXjssceMlJQUIzg42EhISDD+8pe/GEeOHPFA5d7jm2++qfP99ue2HTFihNG3b99az8nKyjLOOeccIzAw0GjXrp3x+uuvu7Vmi2Goj05ERER8k8boiIiIiM9S0BERERGfpaAjIiIiPktBR0RERHyWgo6IiIj4LAUdERER8VkKOiIiIuKzFHRERETEZynoiIhXKSwsZPTo0SQmJhIUFERsbCwDBgwgOzvb06WJSCOk3ctFxKsMGTIEm83GtGnTSE5O5sCBA3z99dccPnzY06WJSCOkLSBExGsUFxcTGRlJVlYWffv2PeHx++67j61bt/L5558DMHnyZMaNG8cXX3zBoEGDAOjYsSPjx49n9OjRbq1dRDxDl65ExGuEhoYSGhrKp59+SlVV1QmP9+vXj6VLl+J0OgFYsmQJ0dHRLFmyBICCggK2bt1aZ0gSEd+koCMiXsPf3593332XadOm0aJFCzIyMnjwwQdZv349ABdccAFlZWWsWbMGwzBYunQp9913H1lZWQB88803xMTEkJqa6sGfQkTcSUFHRLzKkCFD2LdvH3PnzmXAgAFkZWXRo0cP3n33XSIiIjj77LPJyspiw4YN+Pn5MXr0aNatW0dZWdlJL3mJiO9S0BERrxMcHMwll1zCo48+yooVK7j11luZOHEiYF6+ysrKYsmSJfTt25fIyEi6dOnC8uXLycrKol+/fp4tXkTcSkFHRLxe586dKS8vB46P01m8eHFNqOnbty8zZszQ+ByRJkizrkTEaxQVFXHttddy++23061bN8LCwli1ahV33303gwYN4p133qGkpISoqCgsFgvr1q2jS5cufPbZZwwZMoSoqCgKCws9/WOIiBtpHR0R8RqhoaH06tWLl19+mR07dmCz2UhISODPf/4zDz74IAARERGcc8455OXl0blzZwAyMzNxOp3qzRFpgtSjIyIiIj5LY3RERETEZynoiIiIiM9S0BERERGfpaAjIiIiPktBR0RERHyWgo6IiIj4LAUdERER8VkKOiIiIuKzFHRERETEZynoiIiIiM9S0BERERGfpaAjIiIiPuv/Ax7W+Lk4Cg6PAAAAAElFTkSuQmCC",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f1df68cea20>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "# relative permeabilities\n",
    "rel_perms = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "FF.visualize(rel_perms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3 style='padding: 10px'>Corey rel-perm parameters</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h3 style='padding: 10px'>Corey rel-perm parameters</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_relperm(rel_perms, title=\"Corey rel-perm parameters\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define the fluids\n",
    "fluids = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "\n",
    "# define the fractional flow functions\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "# visualize the fractional flow\n",
    "FF.visualize(rel_perms, fluids, label=\"lowsal\")\n",
    "tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.002"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids.oil_viscosity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n",
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.0, 3.98548e-7, 8.04231e-7, 1.21713e-6, 1.63731e-6, 2.06486e-6, 2.49986e-6, 2.94237e-6, 3.39248e-6, 3.85026e-6, 4.31579e-6, 4.78913e-6, 5.27036e-6, 5.75955e-6, 6.25678e-6, 6.76209e-6, 7.27558e-6, 7.7973e-6, 8.32731e-6, 8.86568e-6, 9.41247e-6, 9.96774e-6, 1.05315e-5, 1.11039e-5, 1.1685e-5, 1.22747e-5, 1.28732e-5, 1.34805e-5, 1.40966e-5, 1.47216e-5, 1.53555e-5, 1.59983e-5, 1.66501e-5, 1.7311e-5, 1.79809e-5, 1.86598e-5, 1.93478e-5, 2.00449e-5, 2.07512e-5, 2.14665e-5, 2.21909e-5, 2.29245e-5, 2.36672e-5, 2.44189e-5, 2.51798e-5, 2.59497e-5, 2.67287e-5, 2.75166e-5, 2.83136e-5, 2.91194e-5, 2.99342e-5, 3.07578e-5, 3.15902e-5, 3.24313e-5, 3.3281e-5, 3.41393e-5, 3.50061e-5, 3.58813e-5, 3.67647e-5, 3.76564e-5, 3.85561e-5, 3.94639e-5, 4.03794e-5, 4.13027e-5, 4.22335e-5, 4.31717e-5, 4.41172e-5, 4.50698e-5, 4.60293e-5, 4.69955e-5, 4.79683e-5, 4.89475e-5, 4.99328e-5, 5.0924e-5, 5.1921e-5, 5.29234e-5, 5.39311e-5, 5.49438e-5, 5.59612e-5, 5.6983e-5, 5.80091e-5, 5.9039e-5, 6.00726e-5, 6.11094e-5, 6.21493e-5, 6.31918e-5, 6.42367e-5, 6.52836e-5, 6.63322e-5, 6.73821e-5, 6.84329e-5, 6.94843e-5, 7.05358e-5, 7.15872e-5, 7.2638e-5, 7.36878e-5, 7.47362e-5, 7.57828e-5, 7.68271e-5, 7.78688e-5, 7.78688e-5, 0.000155738]\n",
      "[0.8, 0.798065, 0.79613, 0.794195, 0.79226, 0.790325, 0.78839, 0.786455, 0.78452, 0.782585, 0.78065, 0.778715, 0.77678, 0.774845, 0.77291, 0.770976, 0.769041, 0.767106, 0.765171, 0.763236, 0.761301, 0.759366, 0.757431, 0.755496, 0.753561, 0.751626, 0.749691, 0.747756, 0.745821, 0.743886, 0.741951, 0.740016, 0.738081, 0.736146, 0.734211, 0.732276, 0.730341, 0.728406, 0.726471, 0.724536, 0.722601, 0.720666, 0.718731, 0.716797, 0.714862, 0.712927, 0.710992, 0.709057, 0.707122, 0.705187, 0.703252, 0.701317, 0.699382, 0.697447, 0.695512, 0.693577, 0.691642, 0.689707, 0.687772, 0.685837, 0.683902, 0.681967, 0.680032, 0.678097, 0.676162, 0.674227, 0.672292, 0.670357, 0.668422, 0.666487, 0.664552, 0.662617, 0.660683, 0.658748, 0.656813, 0.654878, 0.652943, 0.651008, 0.649073, 0.647138, 0.645203, 0.643268, 0.641333, 0.639398, 0.637463, 0.635528, 0.633593, 0.631658, 0.629723, 0.627788, 0.625853, 0.623918, 0.621983, 0.620048, 0.618113, 0.616178, 0.614243, 0.612308, 0.610373, 0.608438, 0.2, 0.2]\n",
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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.8, 0.76759, 0.742019, 0.72047, 0.701531, 0.684381, 0.668481, 0.65345, 0.638981, 0.624809, 0.610671, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f1dfd2dfe80>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, \n",
    "    p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms)\n",
    "core_props = FF.core_properties()\n",
    "wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "sw_tmp = range(0, 1, length=100)\n",
    "# plot(sw_tmp, fw.(sw_tmp), xlabel = \"Sw\", ylabel=\"fw\", label=\"\")\n",
    "# plot!(sw_tmp, dfw.(sw_tmp))\n",
    "# figure(1)\n",
    "# plot(pv, R) \n",
    "# xlabel(\"PV injected\")\n",
    "# ylabel(\"Recovery factor\") \n",
    "# title(\"Water flooding\")\n",
    "# figure(2)\n",
    "# plot(xt, sw)\n",
    "# xlabel(\"x/t [-]\")\n",
    "# ylabel(\"Water saturation [-]\")\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Low salinity water flooding - with/without adsorption"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n",
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n"
     ]
    },
    {
     "data": {
      "image/png": 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PfmG++Ngi8Kpb1pSFqBDy6koIIaqY7MIShn1xGKNJ4dFmATzdsmwzoC7nX2bgxoGczz6Pl4MXSyNmcO/nL5kv3jcIwh5WIWshKob06AghRBWiKArjvo0lIauQUC8n3n6scZnG5STkJdB3XV/OZ5/Hz8mPjx5ayb1bZkFBGvg2gq7TVMxeiDtPCh0hhKhCPt8Xx9ojydhoNXzwXHNcHWxLHetC9gX6rO3DpbxLBLkEsbrHamod/RnObQUbR3hqJdg6qJi9EHeeFDpCCFFFXEjL5+1fjgMwtnsDwoM9Sh3rdOZp+q7ry+WCy9R2r81H3T8iMDsZNk81N+gxE3wbqJG2EBVKCh0hhKgCjCaF0V//QWGJkfZ1vRjQofQ7kh9NP0q/9f1IL0qnvmd9Vj20Cj8bZ/hmAJgM0PAxaNFHxeyFqDgyGFkIIaqAFb+d48DFTFzsbZj9VNNSb9Z5KOUQQzYNIa8kjybeTVj04CLc7d3hl1GQeR7cguCR+bJejqg2pEdHCCEqudOXc3lvg3kq+aSHwwjyLN0+VnuS9vDKxlfIK8mjpV9LlnZdai5yzm6FAyvMjR77DziW/pWYEJWNFDpCCFGJGYwmXv/6D/QGE13q+/BMq+BSxdlxaQdDNw2l0FBI+4D2LHpwES52LlCUDT++Zm7UeiDU6axa7kJUBlLoCCFEJbZo21liL2Xj7mjLzCdLt8XD+gvrGb5lOHqTni7BXfjw/g9xtHE0X1w3HnIugWdt6DpF5eyFqHhS6AghRCV1LDGH+ZtPAzClVyP83Kyf6v3T2Z8Ys2MMBsVAj1o9eL/z+9jp7MwXT66Dw58CGvPqx7LFg6iGZDCyEEJUQkaTQvR3sRhMCg818uPRZgFWx/jq5FdM22Ne8O/xeo8zud1kdFqd+WJBBvw8zHzcbiiEtlMrdSEqFSl0hBCiEvp49wX+uJSNq4MN0x61fvXj1UdX896B9wB4ocELjL1vLFrNPzrx142DvMvgfS/cP1HFzIWoXKTQEUKISiYxq5D31p8EYFyPBvha8cpKURQWxy5m4eGFAAxoPIDhLYZfWyid2QyxX3L1lZWto5rpC1GpSKEjhBCViKIovPnjEfL1RlqFevJ86xCr7p37+1xWHVkFwGvNXmNQ00HXFjn6fPhlpPm4zSsQ1ErN9IWodKTQEUKISmTdkWQ2HU/BVqdhxhNNLF4Y0KSYmLlvJl+c+AKAN1q9Qe9Gva9vuG0mZF00Lwwor6zEXUAKHSGEqCSyC0uY/NNRAF7tVJd7/Fwtus9oMvLW7rf44cwPaNAwse1Enqn/zPUNk/6A3f8xH/d8H+wtiy9EVSaFjhBCVBKz150gJbeYOt7ODOlSz6J7SkwljN85nnUX1qHVaHk74m0eqfvI9Q2NBvhpGChGaPQ41O+ucvZCVE5S6AghRCUQeymLz/fFATD98SY42Opue0+xsZjR20ezLX4bNlobZnecTdfQrjduvHcxJB0GB3foPkvN1IWo1KTQEUKICmYyKbz541EUBR5vHki7ul63vafQUMjwLcPZnbQbO60dc7vMpWNQxxs3zoqHrdPNx12ngaufitkLUblV+MrICxcupHbt2jg4ONCyZUt27tx5y/bz5s2jfv36ODo6EhwczMiRIykqKrpD2QohhPq++f0Sh+OzcLbTEd2jwW3b5+nzGLxxMLuTduNo48jCBxfevMgBWB8NJQUQ0h6av6xi5kJUfhXao/Pll18yYsQIFi5cSEREBEuWLKFHjx4cO3aMkJDrp1R+9tlnjBs3jpUrV9K+fXtOnTpF3759AZg7d+4dzl4IIcouu7CE2etOADD8wXtuu2ZOdnE2gzcO5kj6EVxsXVj04CKa+Ta7+Q1nNsHxn0Gjg57vgbbCf78V4o6q0H/xc+bMYcCAAURFRREWFsa8efMIDg5m0aJFN2y/e/duIiIieOGFF6hVqxbdunXj+eef58CBA3c4cyGEUMe8TadIy9NT18eZvu1r37JtemE6/df350j6ETzsPVjx0IpbFzmGYlgzxnzc5hXwa6Ri5kJUDRVW6Oj1eg4ePEi3bt2uOd+tWzdiYmJueE+HDh04ePAg+/btA+DcuXOsWbOGnj173vQ5xcXF5OTkXPMhhBCVwcnkXD7efRGAt3o1ws7m5t+SL+dfpu+6vpzKPIWXgxcrH1pJQ6+Gt37A7gWQcRZc/KDzODVTF6LKqLBXV2lpaRiNRvz8rh0U5+fnR3Jy8g3vee6550hNTaVDhw4oioLBYODVV19l3Lib/weeMWMGU6ZMUTV3IYQoK0VRmPzTEYwmhe6NahJ5j89N217KvUTUhigS8hKo6VyT5d2WE+oWeusHZMXDDvNeV3SdZp5tJcRdqMJf1v7/RnWKotx087pt27Yxffp0Fi5cyO+//853333HL7/8wrRp024aPzo6muzs7Ksf8fHxquYvhBClsebPZPacy8DeRsuEnmE3bXc++zx91vUhIS+BYNdgVndfffsiB2D9+L8HIDe9weKBQtwlKqxHx9vbG51Od13vTUpKynW9PH+ZNGkSL7/8MlFRUQA0adKE/Px8Bg0axIQJE9DeYJCdvb099vb26n8BQghRSkUlRmasPQ7Aq53rElzD6YbtTmacZNDGQWQUZVDHvQ7Lui3D18n39g84sxmO//T3AGQrdz4XojqpsB4dOzs7WrZsycaNG685v3HjRtq3b3/DewoKCq4rZnQ6HYqioChKueUqhBBqWh1zgUuZhfi52TOoY50btjmSdoT+6/uTUZRBgxoNWNV9lWVFjrEE1l15nS8DkIWo2Onlo0aN4uWXX6ZVq1a0a9eOpUuXEhcXx+DBgwHo3bs3gYGBzJgxA4BHHnmEOXPm0Lx5c9q0acOZM2eYNGkSvXr1Qqe7/SqiQghR0TLy9SzYegaANx5qgJPd9d+Gf7/8O0M2DyG/JJ+m3k1Z+OBC3O0tHGNzYBWknQInL+g0Vs3UhaiSKrTQefbZZ0lPT2fq1KkkJSXRuHFj1qxZQ2io+f1zXFzcNT04EydORKPRMHHiRBISEvDx8eGRRx5h+vTpFfUlCCGEVeZvOkVukYFGAW480Tzwuuu7E3czfOtwCg2FtPJrxYIHFuBs62xZ8IIM2PaO+fj+ieDooWLmQlRNGuUue+eTk5ODu7s72dnZuLm5VXQ6Qoi7yNnUPB6auwODSeHzgW1oX9f7muvb4rfx+rbX0Zv0RAREMLfLXBxtHC1/wNpxsHcR+DaEV3aCTnb5EdVHaX9+V/isKyGEuFvMWHMCg0nhwTDf64qcdRfWMXLrSPQmPfcH388H939gXZGTdhr2LzMfPzRdihwhrpBCRwgh7oDdZ9PZdPwyOq2GcT2unU7+45kfGbtjLAbFwL9q/4v3Or+Hnc7OugdsmAgmA9zbA+rer2LmQlRtUvILIUQ5M5kUpq85BsCLbUKo5+ty9dp/T/yX6XvN4wyfvOdJJrWdhE5r5eSKM5vh1DrQ2kC3t1XLW4jqQAodIYQoZ7/8mcSRhBxc7W0Y/sA9V89/dOQj3j/4PgAvhr3I2NZjb7pg6k0ZDbB+gvn4vkHgXU+ttIWoFqTQEUKIclRiNPH+hpMAvNKpDl4u9iiKwuI/FrPwj4UARDWJYljzYdYXOQCHP4XU4+DoCZ3GqJm6ENWCFDpCCFGOvtwfz8X0Arxd7OgXURtFUZh7cC6rjq4CYFjzYQxsOrB0wfX5sPXKdPJOY83FjhDiGlLoCCFEOSnUG5m/+TQA/77/HhzttEzfO50vT34JwJjWY3i54culf8DuhZB3GTxCoVV/NVIWotqRQkcIIcrJqpjzpOYWE+TpyDOtAnlz15v8ePZHNGiY1G4ST9/7dOmD56fBrvnm4wfeBBvZ00+IG5FCRwghykF2QQmLt50FYETXOkzaHc36C+vRaXRMi5jGI3UfKdsDts8GfS74N4NGT6iQsRDVkxQ6QghRDhZtP0tOkYF7/RzYlvke2y9tx0Zrw7sd3+XB0AfLFjzjHBxYaT7uOhW0siSaEDcjhY4QQqjFaISdO8k6e5Gj25LRBtTFtdZXbL/0O/Y6e+Z0nkPHoI5lf87maWAqgXoPQp1OZY8nRDUmhY4QQqjhu+9g+HC4dAkP4BPgsqcDMwp8iG9bkwX3L+A+//vK/pyEg3D0O0ADD04pezwhqjkpdIQQoqy++w6eegr+b49kn8wi5i6I50KL4dRWo8hRFNg42Xwc/hzUbFz2mEJUc/JiVwghysJoNPfk/F+RA1e+wWo01J4839yurM5tgws7QWcHXSaUPZ4QdwGLenQ++OADqwP369cPV1dXq+8TQogqZedOuHQJgBIbGxL9A/BLuYxDcTEAGkWB+Hhzu86dS/8cRYEt08zHrQaAR3AZExfi7mBRoTNixAiCgoLQ6SzbaC4+Pp6HH35YCh0hRPWXlASAAiTW9KfAyYnLvn6ExsfdsF2pnVxjHp9j6wyRo8oWS4i7iMVjdA4cOICvr69FbaXAEULcNfz9Acj08KDA2RmNyYR/8g2KmivtSsVkhC1XdiVvOxhcLPteLISwsNCZPHkyLi4uFgcdP348NWrUKHVSQghRVZxs5IubjzPZHubiwzc1BbuSkr8baDQQFASRkaV/yJFvIeUYOLhD+3+XMWMh7i4WDUaePHkyTk5OFgeNjo7Gw8Oj1EkJIURVcCTtCFEbojhZOwBFq8UpPx/PrKy/G/y1G/m8eWDhq//rGEv+3rgzYrhs3CmElco062rmzJlk/fM/tRBC3CUOXj5I1IYoumzPxi9bR7HWBqfCEjT/bBQUBN98A0+UYYuGQ59C5nlw9oE2g8uathB3nTIVOu+88w4ZGRlq5SKEEFVCTGIMgzcOxvtSHs/sMk8r/6DZ01z+/Shs3Qqff27+8/z5shU5JYXmPa0AIkeDnbMK2QtxdynTgoHKDdaNEEKI6mxb/DZGbRuFotczdq0DOmM+u/wbo+3Wg8YhNSCks3oPO7AKchPBLQha9VMvrhB3EVkwUAghLLTu/DpGbh1JiamEMX+E4J2UT6a9Cx82e4phD96j7sP0BfDbXPNxpzfAxl7d+ELcJcpU6Bw7dozQ0FC1chFCiErr+9PfM3bnWAyKgb6mtjTbeAGAD5o9RbMmtWkapPIEjAMrID8FPEKh2YvqxhbiLlKmQic4ONjiRQSFEKKq+uLEF7wZ8yYmxcSzwb149POLoChsCm3NHv/G/Pv+euo+UJ8Pv80zH3d8A3S26sYX4i5iUaFTo0YN0tLSLA4aEhLCxYsXS52UEEJUFquOrOKdvebp3S+FvcSA7baUxMeT7+HNosa9aFfHi1a1VF43bP9yKEgDz1rmzTuFEKVm0WDkrKws1q5di7u7u0VB09PTMaqxgZ0QQlQQRVFY+MdCFv+xGICBTQbSL785l74cBMCMpk9TYOuofm9OcR7smm8+7jhGenOEKCOLZ1316dOnPPMQQohKQ1EU3j/wPquPrQZgeIvh9At5mnOP9ALgTId/cbBGXVqGetKurpe6D9+3FArSoUYdaPqsurGFuAtZVOiYTKbyzkMIISoFk2Linb3v8OXJLwEY23osLzV8iYTRb2BISUEXEspEn06gwL/vr4dGo7lNRCsU50LMB+bjjmNAV6YVQIQQlHEdHSGEqE4MJgOTYybz09mf0KBhcrvJPHnvk+SsW0fOL7+AVsu2J4aQfUFH0yB3Ot3ro24Ce5dAYSbUqAtNnlY3thB3KSl0hBACKDGWMG7nODZc3IBOo2N6h+n0rNMTQ2oqyW9NAcB1QBQfJtkDBoZ2KYfenN0LzMedxkpvjhAqkQUDhRB3vWJjMSO3jWTDxQ3YaG14v9P79KzTE0VRSJr0JsasLOwbhvFzeHdyiw3c4+tC1zA/dZPYt8zcm+NVD5o8pW5sIe5i8iuDEOKuVlBSwLCtw9ibtBd7nT3zusyjQ2AHALK/+468bdvQ2Nri/fY7rPguHoDBneqi1arYm6PP/7s3J3I0aGV9MiHUIoWOEOKulavPZejmoRxKOYSTjRMLHlhA65qtAdBfSuDydPP6OT4jhvNjjiNpeXoCPRzp1SxA3UQOrDTPtPKsJWNzhFCZ1a+uXnzxRZYuXcqpU6fKIx8hhLgjsoqyiNoQxaGUQ7jaubK029KrRY5iMpFFb+2FAAAgAElEQVQUHY2poADHli1xe7k3S3ecBWBQxzrY6lR8619SCLuuzLSKfF3G5gihMqv/t7q4uDBnzhwaNGhAQEAAzz//PIsXL+bEiRPlkZ8QQqgurTCNfuv7cSz9GJ72nqzotoJwn/Cr1zM/+YSC/fvRODkRMOMdfj2aQnxGIV7OdjzTKljdZA6uNu9p5R4CTWUVZCHUZnWhs2TJEk6cOEFiYiJz5szB3d2d+fPn06hRI/z9/csjRyGEUE1yfjL91vXjTNYZfBx9WNV9FWFeYVevF589S8r7cwDwGzMG2+BgFm0z9+b0i6iFo52K42dKimDXlT2tOowAGzv1YgshgDKM0XF1dcXT0xNPT088PDywsbGhZs2aauYmhBCqis+NJ2p9FIn5ifg7+7O823JC3EKuXldKSkgcOw5Fr8c5MhKPZ59hy4kUTl7OxdlOx8tta6mb0OFPITcJXAOg+UvqxhZCAKXo0Rk7dixt27bF29ubiRMnotfriY6O5vLlyxw6dKg8chRCiDI7l32Ovmv7kpifSIhrCKu7r76myAFIW7KUoiNH0Lq74//2NDQazdXenJfahuLupOK+Uwb93zuUdxgBNvbqxRZCXGV1j867776Lj48PkydP5tFHHyUsLOz2NwkhRAU6mXGSQRsHkVGUQT2PeiztuhQfp2tXNS48cpS0xeYNPGtOmoStnx/7L2Rw4GImdjot/TvUVjepP76A7Hhw8YMWvdWNLYS4yupC59ChQ2zfvp1t27bx/vvvo9Pp6NSpE507d6Zz585S+AghKpXY1FgGbxpMrj6XsBphLOm6BE8Hz2vamIqKSBw7FgwGXLt3x63nvwBYst3cm/NEi0D83BzUS8pogN/mmo/bDwNbR/ViCyGuYXWhEx4eTnh4OMOGDQPgjz/+YN68eQwbNgyTyYTRaFQ9SSGEKI0DyQcYunkoBYYCwn3CWfjgQtzs3K5rlzpvPvqzZ9H5eFNz8ptoNBrOpOSy6XgKGg0M7FhH3cSO/QCZ58GxBrTqp25sIcQ1SjUY+dChQ2zbto1t27axc+dOcnJyaNasGV26dFE7PyGEKJWYhBiGbx1OkbGI+2rex4f3f4iTrdN17fL37SNj9WoA/KdNw8bT3NuzbMd5AB4M86Ouj4t6iZlMsPN983HbIWDnrF5sIcR1rC50PD09ycvLIzw8nM6dOzNw4EA6duyIm9v1vyUJIURF2BK3hdHbR1NiKiEyMJI5nefgYHP9qydjXj5J0eNBUXB/6klcO3cGICWniO8PJQAwuJPKvTmn1kLKMbBzhfui1I0thLiO1YXOJ598IoWNEKLSWnt+LdE7ozEqRrqGdmVW5CxsdTeeLZUyayYlCQnYBgbiN27c1fMfxVxAbzTRMtSTlqE11EtOUf7uzbkvChw9b91eCFFmVhc6Dz/88NXjS5cuodFoCAwMVDUpIYQoje9Pf8/kmMkoKDxc52GmRUzDRnvjb3O527aR9fU3oNHgP+MddC7m11N5xQY+2XMRMG/3oKpz2yDhINg4QNuh6sYWQtyQ1evomEwmpk6diru7O6GhoYSEhODh4cG0adMwmUzlkaMQQtzW58c/582YN1FQePrep5neYfpNixxDZiZJkyYBUKNPH5zvu+/qtf/uiyO3yEAdb2e6hvmpm+RfvTkt+oCLz63bCiFUYXWPzoQJE1ixYgUzZ84kIiICRVHYtWsXb731FkVFRUyfPr088hRCiJta8ecK5v1uXnzv5YYv80arN9BoNDdtnzx1KsbUNOzq1sVn5Iir50uMJlb+Zh6EPLBjHbTam8ewWtxeuLATtLYQMUy9uEKIW7K60Fm9ejXLly+nV69eV8+Fh4cTGBjIkCFDpNARQtwxiqLwn8P/YUnsEgAGNR3Ea81eu2WRk/3rr+SuXQc6HQEzZ6K1/3tF4l9jk0jMLsLbxZ7Hm6v8Sv6v3pzw58A9SN3YQoibsrrQycjIoEGDBtedb9CgARkZGaokJYQQt6MoCu8deI+Pj30MwPAWw4lqcutZTCWXU0ieOg0A71dfxbFJ42viLdlxDoC+7UNxsFVx887kP+H0etBoocNI9eIKIW7L6jE64eHhLFiw4LrzCxYsIDw8XJWkhBDiVkyKiWl7pl0tcsbdN+62RY6iKCRNnIgpOxuHRo3wfmXQNddjzqZzPCkHR1sdL7UNVTfhv/a0avgYeNVVN7YQ4pas7tGZPXs2PXv2ZNOmTbRr1w6NRkNMTAzx8fGsWbOmPHIUQoirDCYDb+56k5/P/YwGDVPaT+Hxex6/7X1ZX31N/s6daOzsCJg1E43ttVPOl+809+Y83SoIDyc79RLOOAdHvzMfdxhx67ZCCNVZ3aPTqVMnTp06xeOPP05WVhYZGRk88cQTnDx5ksjIyPLIUQghACgxljBmxxh+PvczOo2OmZEzLSpy9HFxXJ41CwCfUSOxr1fvmutnUnLZejIVjQb6R6i8eWfMh6CYoN6D4C+93kLcaaXaAiIgIEAGHQsh7qgiQxGjto1iZ8JObLW2vNfpPe4Puf+29ylGI4nR41EKCnBq3Zoava/fKXz5TvNMq65hftTyVnFLhtzLcOgz83GHUerFFUJYzKJCJzY21uKATZs2LXUyQghxIwUlBQzbMoy9yXux19kzv8t8IgIjLLo346PVFB48iNbJCf8Z76DRXtuRnZZXzHdXtntQffPOPQvBWAxB90Foe3VjCyEsYlGh06xZMzQaDYqi3LKdRqOR3cuFEKrK1ecyZNMQDqcexsnGiQUPLKB1zdYW3Vt06hSp88wDgf3GR2MXdP207k92X0RvMBEe7EGrUBW3ZCjMgv0rzMeRo+AWU96FEOXHojE658+f59y5c5w/f/6WH+fOnbM6gYULF1K7dm0cHBxo2bIlO3fuvGX7rKwshg4dir+/Pw4ODoSFhckgaCGqqcyiTAasH8Dh1MO42rmyrNsyi4scRa8ncdw4lJISXDp1wv3JJ69rU1RivLrdQ1SH2rdcf8dqB1aAPhd8wuCeh9SLK4SwikU9Oo8//jibN2/G09OTqVOnMnr0aJycnMr88C+//JIRI0awcOFCIiIiWLJkCT169ODYsWOEhIRc116v19O1a1d8fX355ptvCAoKIj4+HldX1zLnIoSoXNIK0xi4YSBnss5Qw6EGS7supX6N+hbfn7poEcXHjqPz8MD/7Wk3LGK+P5RARr6eQA9HejSuqV7yJYWwZ5H5uMNI0Fo970MIoRKNcrv3UYCjoyOnT58mKCgInU5HUlISvr6+ZX54mzZtaNGiBYsWLbp6LiwsjMcee4wZM2Zc137x4sW8++67nDhxAlvbG+9GfDs5OTm4u7uTnZ0tO7ALUUkl5ycTtSGKizkX8XX0ZVm3ZdTxsHz8TGFsLBeefwGMRgLnzcWte/fr2phMCl3nbudsaj4Te4YRFani+Jx9y2DNaHAPgWG/w012TxdCWK60P78tHqPTr18/OnToYF6N9L33cLmy0+//e/PNNy16sF6v5+DBg4wbN+6a8926dSMmJuaG9/z000+0a9eOoUOH8uOPP+Lj48MLL7zA2LFj0eluvIppcXExxcXFVz/PycmxKD8hRMWIz4knakMUifmJBDgHsLzbcoLdgi2+31RYSOLYcWA04taz5w2LHIDtp1I5m5qPq70Nz7a2PP5tGQ0Q84H5uP2/pcgRooJZVOh89NFHTJ48mV9++QWNRsPatWuxsbn+Vo1GY3Ghk5aWhtFoxM/v2t2B/fz8SE5OvuE9586dY8uWLbz44ousWbOG06dPM3ToUAwGw02fO2PGDKZMmWJRTkKIinU26ywDNwwktTCVULdQlndbTk1n614ppcyZi/78eWx8fak5aeJN2y3/zTym8NnWwbg6qFiMHPsBsuLAyQuav6ReXCFEqVhU6NSvX5///ve/AGi1WjZv3qzKqyvguvfmiqLcdECgyWTC19eXpUuXotPpaNmyJYmJibz77rs3LXSio6MZNerv9StycnIIDlbxtzchhCpOZJxg0IZBZBZnUs+jHsu6LcPb0duqGPl79pD5yScA+E9/G52Hx42flZzDrjPpaDXQp32tsqb+N0X5e7uHNoPBruxjGYUQZWP1goEmk0mVB3t7e6PT6a7rvUlJSbmul+cv/v7+2NraXvOaKiwsjOTkZPR6PXZ21y/bbm9vj/0/dicWQlQ+samxDN40mFx9Lg29GrLkwSV4ONy4SLkZY24uiePHA+Dx7LO43GKl9pW/mRcI7N64JsE1VCxGzm6Gy3+CrTO0vvXeW0KIO6PCpgLY2dnRsmVLNm7ceM35jRs30r79jRfWioiI4MyZM9cUW6dOncLf3/+GRY4QovLbn7yfgRsGkqvPpZlPM5Z3W251kQNw+Z0ZGBKTsA0Oxm/MGzdtl5ZXzA+HEwEY0EHl7R7+6s1p2QecaqgbWwhRKhU653HUqFEsX76clStXcvz4cUaOHElcXByDBw8GoHfv3kRHR19t/+qrr5Kens7w4cM5deoUv/76K++88w5Dhw6tqC9BCFEGuxJ28eqmVykwFNCmZhuWdF2Cq531y0XkbtlC9vffg0ZDwMwZaJ1vvo3Dp3v+XiCwRYiKCwReOggXdoLWBtrJ9yQhKotS7XWllmeffZb09HSmTp1KUlISjRs3Zs2aNYSGhgIQFxeH9h/rTwQHB7NhwwZGjhxJ06ZNCQwMZPjw4YwdO7aivgQhRCltjtvMG9vfoMRUQsegjrzf6X0cbBysjmPIyCBpknmMnteA/ji1bHnTtsUGI59eWSBwgNoLBO6aa/6zyTPgfv0KzEKIimHROjrViayjI0TFW3NuDeN/G49RMdI1tCuzImdhW4pp2IqikDBsOLkbN2J/zz3U+vYbtLd4jf31gXje+CYWf3cHdozpgq1OpU7ttNOwoDWgwJC94NtAnbhCiKtK+/NblusUQtxR353+jnE7x2FUjPSq24vZHWeXqsgByPn5Z3I3bgQbGwJmzbxlkaMoCiuuDELu076WekUOwK75gAL39pAiR4hKxqJXV56enhZ38WZkZJQpISFE9fXZ8c+YuW8mAM/c+wwT2k5AqyldwVGSlETytLcB8HltKA4NG96y/e6z6ZxIzsXRVsfzra/fYqbUcpIg9kvzcYcR6sUVQqjCokJn3pXdf4UQorSW/7mc+b/PB6B3w96MbjW61GNkFEUhacJETLm5OIQ3xSvq9lO5V+4y9+Y81TIIdycVFwjcuwiMeghuCyFt1YsrhFCFRYVOnz59yjsPIUQ1pSgKHx76kGV/LgNgcPhghoQPKdNA4MwvviA/JgaNgwMBM2aiucFK7f90Pi2fzSdSAOgXUavUz71OUTYcWGU+lt4cISqlMs26KiwspKSk5JpzMsBXCPEXRVGYvX82nx7/FICRLUfSv3H/MsXUX7hAyux3AfB9/XXs69x+LZzVMRdQFLi/gS91fG68T1+pHPwIinPApwHc85B6cYUQqrH65Xh+fj6vvfYavr6+uLi44Onpec2HEEIAmBQTU/dMvVrkRN8XXeYiRzEaSRwXjVJUhFPbtni++MJt78kuLOGrA/EA9I9QcYFAQzHsXmg+bj8MtDK3Q4jKyOr/mWPGjGHLli0sXLgQe3t7li9fzpQpUwgICODjjz8ujxyFEFWMwWRgwm8T+ObUN2g1Wqa2n8oLYbcvSm4nfcVKCg8fRuviQsA709FYUFx8fSCeAr2Re/1ciKjnVeYcror9CvKSwdUfmjytXlwhhKqsfnX1888/8/HHH9O5c2f69+9PZGQk9erVIzQ0lM8++4wXX3yxPPIUQlQRJcYSxu4cy8aLG7HR2DAjcgbda3cvc9yiEydI/fBDAPwmTMA2IOC29xhNCh/FXACgX4SKCwSaTBDzgfm47RCwkS1ohKisrO7RycjIoHZtc/evm5vb1enkHTp0YMeOHepmJ4SoUooMRQzfOpyNFzdiq7VlTuc5qhQ5Jr2exLHjoKQElwcewP2xRy26b+Oxy1zKLMTTyZbHmweWOY+rTq2FtFNg7w4t+6oXVwihOqsLnTp16nDhwgUAGjZsyFdffQWYe3o8PKzfiE8IUT0UlBQwdPNQdibsxEHnwIL7F9AlpIsqsdM+XEDxyZPoatTAf+oUi3tm/ppS/kKbEBxsdarkAlxZIBBo3R8cZAKGEJWZ1YVOv379+OOPPwCIjo6+OlZn5MiRvPHGzXcMFkJUXzn6HAZtHMS+5H042zqzuOti2ge2VyV2we+HSF+xAoCaU97CxsuycTZHErLZdz4DG62Gl9vWUiUXAOL2QPxe0NlBm8HqxRVClAurx+iMHDny6nGXLl04ceIEBw4coG7duoSHh6uanBCi8sssyuSVja9wPOM4rnauLHlwCU18mqgS21RQQGL0ODCZcH+0F25du1p876pdFwD4VxN/arpbv1noTf12ZQHV8OfBtaZ6cYUQ5aLMu5eHhIQQEqLicupCiCojtSCVQRsHcSbrDDUcarC061Lq16ivWvyU996j5GIcNjVr4jdhguX35Rbx8x+JAPTvoOKU8pQT5vE5aKD9v9WLK4QoN6UqdDZv3szmzZtJSUnBZDJdc23lypWqJCaEqNyS8pKI2hBFXG4cvo6+LHtoGXXc66gWP2/XLjI//wKAgHemo7NiMdLP9sShN5poHuJBs2AVxw7GmGd90aAneN+jXlwhRLmxutCZMmUKU6dOpVWrVvj7+6s3XVMIUWXE5cQRtSGKpPwkAl0CWdZtGcGuwarFN2ZnkzTe3IPj+cILOLe3fLxPscHIZ3svAuYp5arJSfzH5p0jb91WCFFpWF3oLF68mI8++oiXX365PPIRQlRyZ7POMnDDQFILU6nlVotl3ZZR01ndsSrJ06djuHwZu9BQfEe/btW9v/yRRFqenppuDvRorGJeexaBqQRCIyColXpxhRDlyupCR6/X096K366EENXH8fTjvLLxFTKLM6nnUY9l3Zbh7eit6jNyNmwg56efQaslYNZMtE5OFt+rKMrVKeUvtwvFVqfStgyFWX9v3hkxXJ2YQog7wurvAlFRUXz++eflkYsQohL7I/UPBqwfQGZxJo28GrHqoVWqFzmGtDSSJ78FgFdUFI7Nmll1//4LmRxNzMHeRssL96k4SeLgKtDngk8Y1LN85pcQouJZ3aNTVFTE0qVL2bRpE02bNsXW1vaa63PmzFEtOSFE5bA/eT+vbX6NAkMBzX2b858H/oOrnauqz1AUhaQ3J2PMzMS+QQN8XhtqdYxVV3pznmgRiKezStsyGIrNr60AImTzTiGqGqsLndjYWJpd+S3ryJEj11yTgclCVD+/JfzGiK0jKDYW09a/LfO7zMfJ1vLXSZbK/v4H8rZsAVtbAmbNRGNnXaFyKbOA9UeTAejbXsVByLFfQt5lcAuExk+pF1cIcUdYXehs3bq1PPIQQlRCmy9uZvSO0RhMBjoFdeL9zu9jr7NX/TklCQlcnj4dAJ9h/8ahvvVr8Xyy+yImBSLqeVG/pkq9TSYT7JLNO4WoysrUB3vp0iUSEhLUykUIUYn8eu5XXt/+OgaTgYdqPcTcLnPLpchRTCYSx0/AlJ+PY/PmePXvb3WMAr2BL/bFAdBfzSnlJ9dA+ukrm3f2US+uEOKOsbrQMZlMTJ06FXd3d0JDQwkJCcHDw4Np06Zdt3igEKJq+vbUt0TvjMaoGOlVtxezImdhq7W9/Y2lkPnpZxTs3YvG0ZGAmTPQ6KzffPPb3xPIKTJQy8uJLvV91UlMUWDXle0eWg8Ae3XHJAkh7gyrX11NmDCBFStWMHPmTCIiIlAUhV27dvHWW29RVFTE9Cvdz0KIqunTY58ya/8sAJ6t/yzj24xHqymfAbjF586R8v77APiNeQO70FCrY5hMCh9dGYTcp30ttFqVxgrG7YZL+0FnD21fVSemEOKOs7rQWb16NcuXL6dXr15Xz4WHhxMYGMiQIUOk0BGiClsWu4wPDpnHpPRt1JdRLUeV2yQDxWAgcVw0SnExzhEReDz3XKni7DidytnUfFzsbXiqZZB6Cf61eWezF8BFpV4iIcQdZ3Whk5GRQYMGDa4736BBAzIyMlRJSghxZymKwoeHPmTZn8sAGBI+hMHhg8t1JmX6smUUxcaidXXFf/rbpX7WX7uUP9MqGFcHlV6vXT4Gp9cjm3cKUfVZ3R8dHh7OggULrju/YMECwsPDVUlKCHHnKIrC7P2zrxY5o1qO4tVmr5ZrkVN49Cip/1kIQM03J2Fbs3RbNZxJyWP7qVQ0GujbvpZ6Ce6ab/6zYS/wqqteXCHEHWd1j87s2bPp2bMnmzZtol27dmg0GmJiYoiPj2fNmjXlkaMQopwYTUam7ZnGt6e/BWBCmwk816B0r5AsZSouJmncODAYcO3WDbeHHy51rI9izGNzHgzzI8RLpbV9suLhyDfmY9nuQYgqz+oenU6dOnHq1Ckef/xxsrKyyMjI4IknnuDkyZNERkaWR45CiHJgMBmYsGsC357+Fq1Gy7SIaeVe5ACkfvABxafPoPPyouZbk0vdc5RdUMK3B83LW6g6pXzPQjAZoFYkBLZUL64QokJY3aMDEBAQIIOOhajC9EY9Y3aMYXPcZmw0NsyInEH32t3L/bkFBw6QsdK8Oab/tKnY1KhR6lj/3R9HYYmRBjVdaVun9HGuTTADDq42H3cYoU5MIUSFsqjQiY2NpXHjxmi1WmJjY2/ZtmnTpqokJoQoH0WGIkZsG8GuhF3Yam2Z03kOnYM7l/tzjXn5JI6LBkXB/YkncL3//lLHMhhNrI65AED/DrXVG0+0fwWU5INfE6j7gDoxhRAVyqJCp1mzZiQnJ+Pr60uzZs3QaDQoinJdO41Gg9FoVD1JIYQ68kvy+feWf7M/eT+ONo7M7zKfdgHt7sizU2bPpuTSJWwDAvAbH12mWBuOXSYxuwgvZzt6hQeok6C+APYuNh9HDAfZu0+IasGiQuf8+fP4+PhcPRZCVD05+hxe3fQqsamxONs6s/CBhbTwa3FHnp23YwdZX30FgP8776BzcSlTvJW/mb8PvdgmBAdb61dSvqHDn0FBGniEQKPH1YkphKhwFhU6of9YrfTixYu0b98eG5trbzUYDMTExFzTVghROWQUZfDKxlc4kXECNzs3lnRdQmPvxnfk2casLJImTATAs/fLOLdtU6Z4sZeyOHAxE1udhpfaqvT9xmiAmCubd7YfBrpSDV8UQlRCVs+66tKlyw0XBszOzqZLly6qJCWEUE9qQSr91/XnRMYJajjUYOVDK+9YkQOQPHUahtRU7OrUwXfUqDLH+2uBwIebBuDr5lDmeAAc/R6y4sDJG5q9qE5MIUSlYPWvLYqi3HDgX3p6Os7OzqokJYRQR2JeIlEboojPjcfXyZfl3ZZT213Fqdi3kbN2LTlr1oBOR8CsmWgdylaYXM4p4pfYRAD6RdRSIUPMm3f+Ntd83HYw2Km0Ho8QolKwuNB54oknAPOA4759+2Jvb3/1mtFoJDY2lvbt26ufoRCiVC7mXCRqQxTJ+ckEugSyvNtyglxV3AvqNkpSUkh+awoA3q8MwrFJkzLH/HTPRUqMCq1redI0yKPM8QA4vRFSjoKdC7SOUiemEKLSsLjQcXd3B8w9Oq6urjg6Ol69ZmdnR9u2bRk4cKD6GQohrHYm8wwDNw4krTCNWm61WNZtGTWdS7fNQmkoikLSpEkYs7NxaNgQ78GDyxyzqMTIZ3vjAJUXCNx1ZfPOln3B0VO9uEKISsHiQmfVKvMiX7Vq1eKNN97AyUm6d4WojI6lH+OVja+QVZzFvZ73sqTrErwdve9oDlnffEP+9h1o7OwImDUTjZ1dmWP+cCiBjHw9QZ6OdGukUtEWtxcu7gKtLbQbqk5MIUSlYvVg5N69e5OQkHDd+dOnT3PhwgU1chJClNLhlMNErY8iqziLxl6NWfnQyjte5OgvXSJlxkwAfIYPx/6ee8ocU1EUVu4yTynv274WOq1Ka9z81ZsT/hy4qbQejxCiUrG60Onbty8xMTHXnd+7dy99+/ZVIychRCnsS9rHoI2DyC3JpYVvC5Z1W4a7vfsdzUExmUgaF42poADHVi2p0bePKnF/O5PGqct5ONvpeKZ1sCoxSTkBJ9cAGtm8U4hqzOpC59ChQ0RERFx3vm3bthw+fFiVpIQQ1tl5aSdDNg+h0FBIO/92LHpwES52ZVuUrzQyVn9MwYEDaJycCJgxA41OncX8/log8OlWwbg52KoS82pvTtjD4F32XichROVkdaGj0WjIzc297nx2drZs/yBEBdh0cRPDtg6j2FhM56DOfPjAhzjZ3vkxdMWnT5M61zxN22/cWOyC1el5OZuax9aTqWg05tdWqsi8CLHmlZrpUPa1fYQQlZfVhU5kZCQzZsy4pqgxGo3MmDGDDh06qJqcEOLWfj77M6O3j8ZgMtC9VnfmdJmDvc7+9jeqTCkpIXHsOBS9HueOkXg8/bRqsVddGZvzQAM/anmrtFZXzIegGKFOFwi8M9tgCCEqhtULBs6ePZuOHTtSv359IiMjAdi5cyc5OTls2bJF9QSFEDf29amvmbZ7GgoKj9Z9lCntp6DTqrTvk5XSFi+h6NgxtO7u+E97W7XdxLMK9Hx70Dz5YUAHlaaU56XAoU/Mx5HSmyNEdWd1j07Dhg2JjY3lmWeeISUlhdzcXHr37s2JEydo3PjOLSsvxN3sk2OfMHX3VBQUnqv/HFMjplZYkVP455+kLTbv+u0/+U1s/XxVi/35vjgKS4yE+bvRtk4NdYLuWQiGIghqDbUi1YkphKi0SrVzXUBAAO+8847auQghLLA0dikfHvoQgH6N+zGyxUjVelCsZSoqInHsODD+j737Do+iavs4/t3d9J6QkAKhS++9SJdmBVSwofJIU5QmApFeQxNBBYFEsQs+Co/6ikCkSOhKkd4JAdID6cnWef9YRRHQbLLZScL9ua5cTCY7Z34ZIHvnzJlzzBDsYzgAACAASURBVPg82AefBx+0W9sGk4WP98QBMOT+6vb5HvMz4EC0dfv+caDSdRNCOE6Rl+jNy8sjPj4eg8Fwy/7GjRsXO5QQ4naKovDO4XeIPmZ9o36l6SuMaDxCtSIHIPXtpRguXkQXFEjw1Kl2bXvjsUSSs/RU9HblkSZ2muPml2gwZEPF+lC7t33aFEKUajYXOqmpqQwePJgff/zxjl+XJ6+EsD+LYmHhLwv5/NTnAIxvOZ4XGthnjpqiyt1/gOsffwxA2Jw5OPnbb/kERVGI3nURgBfaV8PFyea77Lcz5MG+963b948FrR3aFEKUejb/Tx8zZgw3btxg3759uLu7s2nTJj7++GPuu+8+vvvuu5LIKMQ9zWwxM2vvrJtFzpQ2U1Qvcsw5OSRGRADg9+STeHXubNf291+6zvFrWbg5a3mmdRX7NHr4U8hLA7+q0KC/fdoUQpR6NvfobNu2jW+//ZZWrVqh1WqpWrUqPXr0wMfHh8jISB566KGSyCnEPcloMTJl1xQ2XtqIVqNlVvtZPFbrMbVjkRwZiTEhAefKlak4caLd24+OtT5S/njzyvh7Fn+dLEwG6yPlYJ0FWVfku/ZCiDLG5h6d3NxcKla0PlUREBBAamoqAI0aNeLQoUP2TSfEPcxgNjB+x3g2XtqIk8aJhZ0WlooiJ3vbdjK/WQ8aDWGR89B52Wlum99dTM1h6+lkAP5jr0fKj66DzCvgFQxNn7VPm0KIMsHmQqdOnTqcOXMGgKZNm7Jq1SquXbvGypUrCQ0NtXtAIe5F+aZ8Rm0fxbYr23DRurC061J6VeuldixMN26QOG0aAAEvvohHq1Z2P8ea3XEoCnSvW5GaQXZYxsJsgl1LrNvtR4GzW/HbFEKUGTb3344ZM4bExEQApk+fTq9evfj8889xcXHho48+snc+Ie45ucZcXt36Kr8m/4q7kzvLui6jXVg7tWOhKApJM2ZiTkvDpVZNgsbYfyHMjDwDXx+8CsBLHe3Um3NiA1y/CO4B0HKwfdoUQpQZNhc6zz77Z7dvs2bNiIuL4/Tp01SpUoXAwEC7hhPiXpOpz+SVn17haNpRvJy9WN59Oc2DS8cSBVn/9wPZmzeDkxNhCxagdbX/UhN/TBBYP9SHdjUqFL9BiwViF1u3270CLva9zSaEKP1sunVlNBqpUaMGJ0+evLnPw8OD5s2bS5EjRDFdL7jOkC1DOJp2FF9XX6J7RpeaIseYnEzS7NkABL48AvcGDex+DoPJwke74wDrcg92mR/ozA+QehpcfaH1sOK3J4Qoc2wqdJydndHr9XafoGzFihVUr14dNzc3WrRoQWxsbKGOW7t2LRqNhr59+9o1jxCOlpKXwuBNgzl9/TQV3CrwYa8PaRBo/2KiKBRFIXHyFCxZWbg1akTgsJIpGL77LYGUbD3BPnaaIFBRYOci63abYeDmW/w2hRBljs2DkV977TUWLFiAyWSyS4B169YxZswYJk+ezOHDh+nYsSN9+vQhPj7+H4+7fPky48ePv7mwqBBl1bWca7zw4wtczLxIsEcwH/X+iNr+tdWOdVPGunXk7tqFxtWVsAXz0Tg72/0ciqIQtdM6QeDgDtXtM0Hg+Z8g8Tdw9oA2Lxe/PSFEmWTzGJ39+/ezdetWtmzZQqNGjfD0vPWe9/r1621qb8mSJbz00ksMGTIEgKVLl7J582bef/99IiMj73iM2Wzm2WefZebMmcTGxpKRkWHrtyFEqXA56zJDtgwhKTeJyl6Vie4VTSWvSmrHuslw+TLJCxYCUHHcWFxr1CiR8+w8l8aZ5Gw8XXQ8bY8JAv/am9PyP+Bph/E+QogyyeZCx8/Pj8cff9wuJzcYDBw8eJBJkybdsr9nz57s2bPnrsfNmjWLoKAgXnrppULf5hKitDl34xxDtwwlvSCd6r7VieoRRbBnsNqxblLMZhIi3kTJz8ejdWv8Bw0qsXP90ZvzVOsq+Lrboccobhdc2Q86V2j/WvHbE0KUWYUqdL777jv69OmDs7Mza9assdvJ09LSMJvNBAff+sM9ODiYpKSkOx6ze/duPvjgA44cOVKoc+j1evR6/c3Ps7Kyih5YCDs5kX6CETEjyNBnUNu/Nqt7rKaCe+nqdbi+Zg35hw6h9fQkLHIemhJaG+pEQia7zqeh02oY3KGafRr9eYH1z+aDwDvEPm0KIcqkQv3k6tev383bQzqdjpSUFLuG+PvgZkVR7jjgOTs7m+eee46oqKhCP+UVGRmJr6/vzY/w8HC7ZBaiqI6kHGHI5iFk6DNoFNiID3t9WOqKnIIzZ0ld9g4AwW9G4Fyp5G6n/bHcw0ONQqns71H8Bi/vgbhY0DpbF+8UQtzTClXoBAUFsW/fPuDuRUhRBAYGotPpbuu9SUlJua2XB+DChQvExcXxyCOP4OTkhJOTE5988gnfffcdTk5OXLhw4bZjIiIiyMzMvPlx5coVu2QXoij2J+5nWMwwcow5tAhuweoeq/F1LV1PAykGAwkTJ6IYjXh17Ypv/5JbADMhI5/vf0sAYGhHO43/2THf+mez58C3sn3aFEKUWYW6dTVixAgee+wxNBoNGo2GkJC7dwWbzeZCn9zFxYUWLVoQExNDv379bu6PiYnhscduX9Onbt26HDt27JZ9U6ZMITs7m2XLlt2xt8bV1RXXEpjYTAhb7by6k7Hbx2KwGGgf1p6lXZfi7uSudqzbpK5Ygf70aXR+foTOmmn36ST+6qM9cZgsCu1qVKBRZTsUfPH74NLP1t6cjuOK354QoswrVKEzY8YMnnrqKc6fP8+jjz7KmjVr8PPzs0uAcePGMWjQIFq2bEm7du1YvXo18fHxjBgxAoDnn3+eSpUqERkZiZubGw0bNrzl+D9y/H2/EKVJzOUYJuycgMliomt4VxZ3XoyLzg6rcttZ/pEjpK+OAiBk5kycgoJK7FxZBUa+2G+dRmJoJzst9/DH2Jymz4CfHZ7eEkKUeYV+6qpu3brUrVuX6dOn8+STT+LhYYd76cDAgQNJT09n1qxZJCYm0rBhQzZu3EjVqlUBiI+PR1tCgyCFcITvL3zPlN1TsCgW+lTrw9yOc3HW2n8umuKy5OeTMCkCLBZ8HnkEn149S/R8X+yPJ0dvolZFL7rUrlj8Bq/8Ahe2gdYJOr5e/PaEEOWCRlEURe0QjpSVlYWvry+ZmZn4+PioHUeUc1+d+Yo5++agoNCvVj+mt5uOTqtTO9YdJc2Zy43PPsMpOJga332Lzrfkxg7pTWY6LthOSraehU80ZkBLOzwk8Nnj1kkCmw2Cx94rfntCiFKlqO/fNs+jI4QonE9OfMKiX62T1j1d92kmtZ6EVlM6eydz9+7lxmefARA6d26JFjkAGw5dIyVbT4iPG32b2uGJrqsHrUWORie9OUKIW0ihI4SdKYrC6qOree+ItVfhPw3/w5jmY0p0UG9xmLOySIh4EwC/p5/C6/4OJXo+i0Vh9e8TBL50v52We/hjbE6TpyDATuN9hBDlghQ6QtiRoigsO7SMD45/AMCrTV9lWONhpbbIAUieOw9TUhLOVaoQ/MYbJX6+LSeTuZiWi4+bE0+3scOA4asH4dxm0GilN0cIcRubfpUyGo107dqVs2fPllQeIcosi2Jh/oH5N4ucN1q+wfAmw0t1kZP9009kfvstaLWEzY9Ea6eHDO5GURRW/myd72pQu6p4udrhd60d86x/NnkaKtQsfntCiHLFpp8yzs7OHD9+vFT/4BZCDWaLmZl7Z7Lh/AY0aJjSdgoD6gxQO9Y/MqWnkzhtOgAVXvoPHs2bl/g591+6zpErGbg4aXmxvR1uMcXvt47N0TpBp5LvjRJClD023xx//vnn+eCDD0oiixBlktFiJGJXBBvOb0Cr0TL3/rmlvshRFIXE6dMxX7+Oa+3aBL7mmIUv/+jNebJFZYK87TCR5/a51j+bPitjc4QQd2Rzv7HBYCA6OpqYmBhatmyJp6fnLV9fsmSJ3cIJUdoZzAbG/zye7Ve246RxYkGnBfSsVrLzz9hD5rffkvPTVnB2JmzBfLQuJT954anELHacSUWrgWGd7LDcQ9yuP2dB7jS++O0JIcolmwud48eP0/z3Lu6/j9WRW1riXpJvymfM9jHsSdiDi9aFt7u+TafKndSO9a+MiYkkz7H2hASNHIlbvXoOOe+q33tz+jQKpWoFz3959b9QFNj++9ic5s/LLMhCiLuyudDZvn17SeQQokzJNeYycutIDiYfxN3JnXe7vUub0DZqx/pXisVCwptvYsnJwb1JEyoMeckh541Pz+P7o4kAvNzZDgOGL/0Ml3eDzlWetBJC/KMiT2Bx/vx5Nm/eTH5+PmC95y/EvSBTn8nQLUM5mHwQL2cvVvdYXSaKHIAbX3xJ3t59aNzcCFswH42TY2aYWLnzAmaLQufaQTSsVMzJCBUFtv0+NqflYPC1w4SDQohyy+ZCJz09ne7du1O7dm0efPBBEhOtv6UNGTKE11+X36xE+Zaen85Lm1/iWNoxfF19ie4VTdOKTdWOVSj6S5dIWbwYgIrjx+NSrZpDzpuUWcDXv14FYGTXWsVv8PxWuHoAnNzg/rHFb08IUa7ZXOiMHTsWZ2dn4uPjb1nYc+DAgWzatMmu4YQoTZJzkxm8eTBnbpyhglsF1vRaQ4MKDdSOVSiKyUTCpEkoBQV4tm+H/zNPO+zc0bEXMZgttK4WQOvqAcVrTFFg2yzrdqsh4B1S/IBCiHLN5n7rLVu2sHnzZipXrnzL/vvuu4/Lly/bLZgQpcm1nGsM2TyEqzlXCfEMIbpnNFV9qqodq9DSoz+g4LejaL29CZ07F43WMWtuXc818Pn+eABe6WqHsTknv4XE38DFS3pzhBCFYnOhk5ube0tPzh/S0tJwdbXDvBhClDJxmXEM2TKE5LxkKntV5oNeHxDmFaZ2rEIrOHWK1OXLAQie/CbOoaEOO/dHuy+RbzTTsJIPnWsHFa8xswm2zbFutxsJnoHFDyiEKPds/rWuU6dOfPLJJzc/12g0WCwWFi1aRNeuXe0aTgi1nbtxjhc3vUhyXjI1fGvwcZ+Py1SRYzEYSJgwEYxGvHs8gO9jjzns3NkFRj7aEwfAyC61ij/9xG9fQvo5cA+Adq8WP6AQ4p5gc4/OokWL6NKlC7/++isGg4EJEyZw4sQJrl+/zu7du0sioxCqOJF+guExw8nUZ1I3oC6reqwiwK2YY0wcLO3dd9GfO4cuIICQmTMdOtfVZ/viySowUTPIk14NijmWxqSHHfOt2x3HgZtP8QMKIe4JNvfo1K9fn6NHj9K6dWt69OhBbm4u/fv35/Dhw9SsKQvqifLhcMphhmweQqY+k8aBjYnuGV3mipy8Q4dIj7Yu1xI6ayZOAY7LX2A088GuiwC80qUWWm0xC6xfP4Ssq+AdZh2ELIQQhWRzj058fDzh4eHMnDnzjl+rUkVmKBVl277EfYzaNop8Uz4tgluwvPtyPJ2LOZOvg1lyc0mYFAGKgm/fvng/8IBDz//lgXjScgxU9nfn0abFvNWnz4ad1sfi6TwBnN2LH1AIcc+wuUenevXqpKam3rY/PT2d6tVlUT1Rtu28upORP40k35RPh7AOvP/A+2WuyAFIXrwYY3w8TqGhBE9+06HnLjCaby7e+XKXmjjrivmE176VkJcGATWg2XN2SCiEuJfY/BNIUZQ73ufPycnBzc3NLqGEUMPmuM2M3jYag8VAt/BuvNPtHdydyl7vQU7sLjK+XAtA2Ly56Ly9HXr+db9cITlLT5ivG0+2CC9eY3nXYc871u2uk0HnXPyAQoh7SqFvXY0bNw6wPmU1derUWx4xN5vN7N+/n6ZNy8YMsUL83XcXvmPq7qlYFAt9qvdh7v1zcdaWvTdVc2YmiZMnA+D/3HN4tmvn0PPrTWbe3/F7b07XWrg4FbM3Z+ci0GdBcCNo0N8OCYUQ95pCFzqHDx8GrD06x44dw8XF5ebXXFxcaNKkCePHj7d/QiFK2FdnvmL2vtkA9L+vP9PaTkOn1amcqmiS5szFlJKCS7VqVHx9nMPP/9UvV0jKKiDEx40BLSv/+wH/5EYcHIiybvecBQ6a5FAIUb4UutD5Y9XywYMHs2zZMnx85PFOUfZ9fOJjFv9qHej6bL1nmdBqAlpN2XxDzdq0mazvvwetlrAF89G6O/a2m95kZsWOP8fmuDoVs1jcOhssRqjRFWp2s0NCIcS9yOanrtasWVMSOYRwKEVRWHl0JSuOrABgSKMhjGo2yqHzzNiTKTWVpBkzAKgwbCjuTZo4PMN/f71KYmYBwT6uDGxVzLE51w7B8a8BDfS4/QlPIYQoLJsLHYBffvmF//73v8THx2MwGG752vr16+0STIiSoigKbx96mzXHrUX7a81eY1jjYSqnKjpFUUicOg1zRgau9eoR9MorDs9gMFlujs0Z0bkmbs7F6M1RFIiZZt1uPBBCHV+0CSHKD5v76NeuXUuHDh04efIkGzZswGg0cvLkSbZt24avr29JZBTCbiyKhcgDkTeLnAmtJpTpIgcgc/16cnbsQOPsTNj8+Wj+Mn7OUb4+eJVrGfkEebvydOtizqV1LgbiYkHnCt0m2yegEOKeZXOhM2/ePN5++23+7//+DxcXF5YtW8apU6cYMGCATBYoSjWzxcz0PdP58vSXaNAwrd00BtUfpHasYjFcvUbyvEgAgkaPwq1ObcdnMFlYvv08YIfeHIv5z96cNsPBT36mCCGKx+ZC58KFCzz00EMAuLq6kpubi0ajYezYsaxevdruAYWwB6PFyKTYSfzv/P/QaXTMvX8uT9Z+Uu1YxaJYLCRGRGDJzcW9eXMCBg9WJce6X6/c7M15pri9OUe+gNRT4OZnXdNKCCGKyeZCJyAggOzsbAAqVarE8ePHAcjIyCAvL8++6YSwA71Zz7gd49gUtwknrROLOi/ikZqPqB2r2G58+il5v/yCxsODsPmRaHSOfyS+wGjmvW3nAHitWy3cXYqRQZ8D26yP+dNpPLj72yGhEOJeZ/Ng5I4dOxITE0OjRo0YMGAAo0ePZtu2bcTExNC9e/eSyChEkeWb8hm9bTR7E/fiqnNlSZcldKrcSe1Yxaa/cIGUJW8DEDzhDVxUum382b7LJGfpqeTnXvwnrXYvhZxk8K8Grcv2uCkhROlhc6Hz3nvvUVBQAEBERATOzs7s2rWL/v37M3XqVLsHFKKocgw5jNw6kkMph3B3cue9bu/ROrS12rGKTTEaSZg4CUWvx/P++/EbOFCVHLl60815c0Z1r1W8eXMy4mHPu9btnnPAydUOCYUQogiFTkBAwM1trVbLhAkTmDBhgl1DCVFcmfpMRsSM4Hj6cbydvVnxwAqaViwfS5SkrV5NwfHjaH18CJ07R7W5fz7aE8f1XAPVKnjwePNizoL80wwwFUDV+6Huw3bJJ4QQUIQxOs8++yxRUVGcPXu2JPIIUWzp+en8Z/N/OJ5+HD9XP6J7RZebIif/+AnS3l8JQMjUqTgHB6uSIzPfyKrfVygf26M2TsVZoTx+Pxz/BtBA73lQRidtFEKUTjb/dPLy8uKtt96ibt26hIWF8fTTT7Ny5UpOnz5dEvmEsElybjIvbnqRszfOEugeyJpea6hfob7asezCoteTMGkimEx49+6Nz8MPqZYlOvYiWQUmagd78XDjsKI3ZLHA5gjrdrPnZHJAIYTd2VzorFq1itOnT5OQkMCSJUvw9fVl2bJlNGjQgNDQ0JLIKEShXM2+ygubXiAuK44QzxA+6v0RtfxrqR3LblKXLsNw/gK6wEBCpk9T7ZZVeo6eD3ddAmBcj9rotMXIcey/cO0guHhBNxnjJ4SwvyItAQHg7e2Nv78//v7++Pn54eTkREhIiD2zCVFolzIvMXTLUJLzkgn3Die6ZzRhXsXoaShlcg8c4PpHHwEQOnsWTv7qPXr9/o4L5BrMNAjzoVeDYvyfN+Rax+aAdc4cb3Vuwwkhyjebe3QmTpxI27ZtCQwMZMqUKRgMBiIiIkhOTubw4cMlkVGIf3Tm+hle3PQiyXnJ1PStyce9Py5XRY45J5fEiDdBUfB94nG8u3ZVLcuV63l8svcyAG/0qlO8XqXYJZCdAL5VoO1IOyUUQohb2dyjs2jRIoKCgpg+fTqPPfYY9erVK4lcQhTK8bTjDI8ZTpYhi7oBdVnVYxUBbgH/fmAZkrJgAcZr13AOCyN40iRVs7wdcxaD2UL7mhXoXDuo6A2lX4A971i3e88DZzf7BBRCiL+xudA5fPgwP//8Mzt27OCtt95Cp9PRuXNnunTpQpcuXaTwEQ5zKPkQr2x9hVxjLo2DGvP+A+/j4+Kjdiy7yt6xg4z//heA0MhIdF5eqmU5mZDFhiPXAJjUp27Re3MUBX6cCGYD1Owmj5MLIUqUzYVOkyZNaNKkCaNGjQLgt99+Y+nSpYwaNQqLxYLZbLZ7SCH+bm/CXkZvH02+KZ9WIa14t9u7eDp7qh3Lrkw3bpD4+yScAS+8gGcbdSc7XLDpNIoCDzcOpXFlv6I3dOZHOB8DWmfos0geJxdClKgiDUY+fPgwO3bsYMeOHcTGxpKVlUXTpk3pquLYAXHv2HFlB6/veB2DxUCHSh1Y2mUpbk7l79ZH8uzZmFPTcKlZk6CxY1TNsud8Gj+fTcVJq+GNXnWK3pAxHzZNtG63fxUCy89TcUKI0snmQsff35+cnByaNGlCly5dGDp0KJ06dcLHp3zdMhCl06a4TUTsjMCkmOhepTsLOy3EReeidiy7y/zhB7I2/gg6HWHz56N1U6+Qs1gU5m+yzpP1bJsqVK1QjJ6z3cusyz34VIJOb9gpoRBC3J3Nhc6nn34qhY1Qxbfnv2XanmlYFAsP1XiIOR3m4KQt8gwJpZYxOYWkWdZVvANHjMC9UUNV82w8nsjRq5l4uuh4rft9RW/oRhzssi5ESs854FK+bjUKIUonm98lHn5YBg4Kx1t7ei1z988F4PH7Hmdq26notMVYRLKUUhSFxClTsGRm4tagAYEjhquax2CysGjzGQCGdapJoFcRF9tUFPhxknU9q+qdoEE/O6YUQoi7K3+/Doty56PjH/HWwbcAeK7ec0xoNUG1WYFLWsZX/yU3NhaNiwthC+ajcXZWNc8ne+O4nJ5HoJcrQzpWL3pDp/8Pzv4oA5CFEA4nhY4otRRFYeVvK1nx2woAhjYaymvNXiu3RY7hyhWSFywAIGjsWFxrqTtQNz1Hz7Kt5wCY0KsOnq5F/HFRkAUbJ1i3O4yGinXtlFAIIf6dFDqiVFIUhbcPvs2aE2sAGNVsFEMbD1U5VclRzGYSJkWg5OXh0bIlAS88r3Yklv50juwCEw3CfHi8ReWiN7RtjnUG5IAa0Gm8/QIKIUQhSKEjSh2LYmHe/nmsO7MOgImtJvJc/edUTlWyrn/0MfkHD6L18CB0fiQarc2rs9jVmaRsPt9vXeph6sP1i75w57WDcGC1dfuhJeDsbqeEQghROFLoiFLFbDEzfc90vr3wLRo0TGs3jSdqP6F2rBJVcPYsqUuXAlAxYhIulYvRe2IHiqIw54eTWBTo3SCEtjUqFK0hswm+Hw0o0Hgg1JR5toQQjieFjig1jBYjEbERbI7bjE6jY879c3i4Rvl+yk8xGEiYNAnFaMSrc2f8nlC/qNt+JoXYc2m46LREPFiM8TT734ekY+DuD73m2S+gEELYQAodUSrozXrG7xjPjqs7cNI6sbjTYrpX7a52rBKXtnIl+pOn0Pn6EjJ7luoDrY1mC3N+OAXA4A7Vij454I3LsP334qbHbPAMtFNCIYSwjRQ6QnV5xjxGbx/NvsR9uOpcWdp1KfdXul/tWCUu/+hR0lZZx6+EzJiOc8WKKieCT/de5mJqLhU8XRjZrYhPfSmK9ZaVMQ+q3g/Nyvf4KiFE6SaFjlBVjiGHkVtHcijlEO5O7izvvpxWIa3UjlXiLAUFJEycBGYzPg89hE+fPmpHIiW7gLdjzgLwes86+LgVcQ6fQ5/Axe3g5AaPviNz5gghVCWFjlBNpj6T4THDOZF+Am9nb97v8T5NgpqoHcshUpYswXDpEk5BQYRMnaJ2HADmbzxNtt5E48q+DGwVXrRGMq/C5snW7W5ToUJN+wUUQogikEJHqCItP41hMcM4d+Mc/q7+rOqxinoV6qkdyyFy9+3jxiefAhA6dw46Pz+VE8H+i+msP3wNjQZmP9awaI+T/3HLypANlVtD25ftH1QIIWwkhY5wuKTcJIZuGUpcVhxB7kFE9Yyipt+98Zu/OTubhDffBMBv4EC8OnVSOZF1APK0b08A8HTrKjQJL2LhdeQLOP8T6FzhseVQDtciE0KUPVLoCIe6kn2FoVuGci3nGqGeoUT3jKaKTxW1YzlMcuR8TAmJOIeHEzzhDbXjAPDJ3sucSc7G38OZN3rWKVojWQmwKcK63fVNCKptv4BCCFEM6k6/+rsVK1ZQvXp13NzcaNGiBbGxsXd9bVRUFB07dsTf3x9/f38eeOABDhw44MC0oqguZl7kxU0vci3nGlW8q/Bx74/vqSIne9s2MtevB42GsMh5aD2L+Oi2HaVk/TkAeWLvuvh7utjeiKLA/40FfSaENYd2r9o5pRBCFJ3qhc66desYM2YMkydP5vDhw3Ts2JE+ffoQHx9/x9fv2LGDp59+mu3bt7N3716qVKlCz549uXbtmoOTC1ucuX6GwZsGk5KXQk3fmnzU+yNCvULVjuUwpuvXSZw6DYCA/wzGo2VLlRNZzdt4ihy9iSbhfgxoWcQByAc/grObQOcCfVeATjqKhRClh0ZRFEXNAG3atKF58+a8//77N/fVq1ePvn37EhkZ+a/Hm81m/P39ee+993j++X9fCDErKwtfX18yMzPx8fEpVnZROMfTjjM8ZjhZhizqBdRjVY9V+Lv5qx3LYRRF4dqo0WTHxOB6Xy2qff01WldXtWOx+3waz0bvR6OB70bewnmg+wAAIABJREFUT6PKvrY3kn4BVt5vnTOn5xxo/5r9gwohBEV//1a1R8dgMHDw4EF69ux5y/6ePXuyZ8+eQrWRl5eH0WgkICDgjl/X6/VkZWXd8iEc52DyQYZsGUKWIYsmQU2I7hV9TxU5AFnff092TAw4ORG2YEGpKHLyDWYi1h8D4Pm2VYtW5JiNsH6otcip1hHajrRzSiGEKD5VC520tDTMZjPBwcG37A8ODiYpKalQbUyaNIlKlSrxwAMP3PHrkZGR+Pr63vwIDy9i97yw2Z6EPYyIGUGuMZfWIa1Z3WM1Pi73Vi+aMSmJpNlzAAga+Qpu9eurnMhq6U9nib+eR6ivG2/0LuJ6VjsXW1cnd/OFfitB5RXXhRDiTkrFT6a/r++jKEqh1vxZuHAhX375JevXr8fNze2Or4mIiCAzM/Pmx5UrV+ySWfyzHVd28OrWVykwF9CxUkeWd1+Oh7OH2rEcSlEUEt+cjCU7G7fGjakwdKjakQA4fi2TqNiLAMzp2xAv1yKMqbnyC+xcZN1+aAn4qrviuhBC3I2qowYDAwPR6XS39d6kpKTc1svzd4sXL2bevHn89NNPNG7c+K6vc3V1xbUU3Cq4l2y6tImI2AhMiokeVXuwoOMCnHVFXE6gDLvx5Zfk7tmDxtWVsPnz0TipP0jXaLYw4eujWBR4uHEo3ev98/+zO9LnWG9ZKWZo9CQ0Un/FdSGEuBtVe3RcXFxo0aIFMTExt+yPiYmhffv2dz1u0aJFzJ49m02bNtGylDy9Iqw2nNvAxNiJmBQTD9d4mIWdFt6TRY4hLo6URYsBqPj667jWqK5yIqsPdl3iZGIWvu7OTH+kQdEa+XEC3LgEPpXhwcX2DSiEEHam+q+Y48aNY9CgQbRs2ZJ27dqxevVq4uPjGTFiBADPP/88lSpVuvkE1sKFC5k6dSpffPEF1apVu9kb5OXlhZeXl2rfh4AvT3/JvP3zAHii9hNMbTsVraZU3B11KMVsJmFSBEp+Ph5t2uD/3LNqRwIgLi335pw5Ux6qR5B3EXo6j3wJRz4HjRb6rwJ39ZevEEKIf6J6oTNw4EDS09OZNWsWiYmJNGzYkI0bN1K1alUA4uPj0f5lkOOKFSswGAw88cSt3eXTp09nxowZjowu/mLN8TUsObgEgOfqPceEVhMKNc6qPEr/4EPyjxxB6+VFWOQ8NKVgkK7FojDxm6PoTRY61KrAEy2KMKYm9Sz8MM663SUCqt1v35BCCFECVJ9Hx9FkHh37UhSFFb+tYOVvKwEY1ngYrzZ99Z4tcgrOnOHSE0+C0UjovHn49e+ndiQAomMvMueHU3i46PhxdEeqVrBxVmZjPkR1h5QTUL0TDPqfrGUlhHCoor5/q96jI8ouRVF469e3+PjkxwCMbj6aIY2GqJxKPRaDgYQJE8FoxKtbN3z79VU7EgDnU7JZuPkMAG8+WM/2Igfgx4nWIsezIvSPliJHCFFmSKEjisSiWJi3fx7rzqwDYFLrSTxbr3SMRVFL2nvL0Z85g87fn9BZM0tFr5bRbGHcV79hMFnoVDuIZ9sUYW2xY1/DoY8BDfRfDd5FeFJLCCFUIoWOsJnJYmL6nul8d+E7NGiY0X4G/e/rr3YsVeUdPkx6dDQAITNn4BQYqHIiq/d3XODo1Ux83JxY+Hhj24uv1DPw/WjrdqfxULOr/UMKIUQJkkJH2MRoNjIpdhJbLm9Bp9Ex7/55PFjjQbVjqcqSl0fCpElgseDz6CP4/G1JE7Ucv5bJO1vPATC7b0NCfO88qeZdFWTC2mfAkGNd4qHzpBJIKYQQJUsKHVFoerOe13e8zs9Xf8ZZ68yizovoXqW72rFUl7L4LYyX43EKDiZkyhS14wBQYDQz7qsjmCwKDzYK4dEmYbY1YLHA+uGQft46X84Ta2RVciFEmSQ/uUSh5BnzGLV9FPsT9+Oqc2VZ12V0qNRB7Viqy9m9mxtffAFA6Ly56ErJk3yRG09xNjmHQC9X5vRtZPstq52L4OyPoHOFgZ+CV1DJBBVCiBImhY74V9mGbEZuHcnhlMN4OHnwXvf3aBXSSu1YqjNnZZH45mQA/J95Bq8OpaPw23wiiY/3XgZg8ZONCfB0sa2BM5tgh3XiRx5+Gyo1t3NCIYRwHCl0xD/KKMhg+E/DOZl+Em8Xb1Y+sJLGQXdfW+xekjx3LqbkZJyrVqHi+NfVjgPAtYx8Jnx9FIDhnWrQpU5F2xpIO29dxwqg1VBodm8/SSeEKPuk0BF3lZafxtAtQzmfcR5/V39W91xN3YC6ascqFbK2bCHz2+9AqyVs/ny0HuqvzG4yWxj95WEy8400Cffj9Z51bGsg7zp8ORD0WRDeFnrNK5mgQgjhQFLoiDtKyk1i6JahxGXFEeQeRHTPaGr41VA7VqlgSksjafoMACoMGYJHs2bqBvrdsq3n+PXyDbxdnXj3qWa4ONmw9ITJAOsGWQcf+4bDgE/AycZbXkIIUQpJoSNucyX7CkM2DyEhN4EwzzCie0YT7hOudqxSQVEUEqfPwHzjBq516hD46ki1IwGw53wa720/D8C8/o2oUsGGHiZFsc6Vc3kXuHjDM+tkUkAhRLkhhY64xcXMiwzdPJSU/BSq+lQlqkcUoV6hascqNTI3/I+crVvB2ZmwhQvQuqjf65GUWcCotYdRFHi6dTiP2Poo+a4l8NsX1hXJn/wIghuUSE4hhFCDFDripjPXzzAsZhjXC65Ty68WUT2jCHQvHTP8lgbGa9dInmcdtxL02mu41bFxDEwJ0JvMjPjsIGk5BuqGeDPtYRuLlBMbYOss63afhXDfA/YPKYQQKpJCRwBwLPUYw38aTrYhm/oV6rPqgVX4ufmpHavUUCwWEt6cjCUnB/emTanw0n/UjgTAzO9PcuRKBj5uTqwe1BJ3FxsW27y8BzaMsG63fQVaDy2ZkEIIoSIbRiuK8urXpF8ZGjOUbEM2TYOaEt0zWoqcv7nx2efk7d+Pxt2dsPmRaHTqr9697pd4vtgfj0YD7zzdzLZxOUnH4IunwFQAdR6EnnNKLqgQQqhICp173J5re3j5p5fJNebSJqQNq3qswtvFW+1YpYr+4kVS3noLgIpvjMelWjV1AwFHrmQw9X8nAHi9R23b5su5fgk+exz0mVClHTzxIWjVL9yEEKIkSKFzD9sWv41Xt71KgbmATpU78V739/BwVn8+mNJEMZlImBSBotfj2b49/k8/rXYkUrP1vPzZQQxmCz3rB/NKl1qFPzgnBT7tBznJENwQnl4Lzu4lF1YIIVQmhc496sdLPzJuxziMFiM9qvZgaZeluDnZuLr1PSA9KoqCo0fRensTOm+u7WtG2VmB0czQT34lMbOAGkGevDWgCVptITMVZMJn/eHGJfCrCs99A+5yi1IIUb5JoXMP2nBuAxN3TsSsmHmkxiMs7LQQZ52z2rFKnYKTJ0ldvgKAkKlTcA4JUTWPxaIw7qsjHLmSga+7M9HPt8TbrZB/b/oc+GKgdWyOZ0UYtAG81f1+hBDCEeSpq3vMF6e+IPJAJAADag9gctvJaDVS7/6dRa8nYeJEMJnw7tEDn0ceUTsSCzefYeOxJJx1GlYPakGNIK/CHWjIhS8GQPxecPOF576GCjVLNqwQQpQSUujcQz449gFLDy0F4Pn6zzO+5XjVb8WUVqnvvIP+3Hl0FSoQMnOG6tfpywPxrPz5AgALn2hMmxoVCnegIc/ak3N5N7j6WntyQpuUYFIhhChdpNC5ByiKwvIjy1l1dBUAI5qM4JUmr6j+5l1a5R08yPUP1wAQOnsWTgEBquaJPZfKlP8dB2DMA/fRr1nlwh1oyLMu0hkXC64+MGg9VGpRgkmFEKL0kUKnnFMUhcW/LuaTk58AMKb5GF5q9JLKqUovS24uCZMiQFHw7dcP727dVM1z9GoGIz49iNmi0K9ZJUZ3v69wBxryYO3TcGknuHhZBx5XblmyYYUQohSSQqccsygW5u6by1dnvwIgonUEz9R7RuVUpVvywkUYr1zBKSyU4DcjVM1yLjmbFz48QK7BTLsaFZj/eKPC9cLlZ8CXT1nH5Dh7Wouc8NYlH1gIIUohKXTKKZPFxLTd0/j+4vdo0DCz/Uz63ddP7VilWs7OnWSsWwdA2LxIdN7qTZx45Xoez32wnxt5RpqE+xH1QktcnQoxqV9OKnzWz/p0lasvPPtfqNKm5AMLIUQpJYVOOWQ0G5kYO5GYyzHoNDoiO0bSp3oftWOVauaMDBInTwHAf9AgPNuqVxykZBXw3Af7Sc7SUzvYi49ebIWXayH+q2ZcgU/7Qvp58AyyDjwOaVTygYUQohSTQqecKTAVMG7HOGKvxeKsdWZx58V0q6LuOJOyIGn2HEypqbhUr07FcWNVy5GRZ2DQBwe4nJ5HlQAPPn2pDf6eLv9+YNo5+KQvZF0F33B4/lt5hFwIIZBCp1zJM+Yxatso9iftx03nxrKuy2hfqb3asUq9rB9/JOuHH0CnI2zBfLTu6iyJcD3XwLPR+zmTnE1Fb1c+e6kNwT6FmK368h5Y+wzk34DA2jDof+BbqeQDCyFEGSCFTjmRbcjmlZ9e4UjqETycPFjefTktQ+Qpm39jTEkhacZMAAKHD8O9cWNVcqRm63k2eh9nk3MI9HLl8yFtCrca+dGv4NuRYDZYHx1/5ivwDCz5wEIIUUZIoVMO3Ci4wfCY4Zy6fgpvF29WPbCKRkEyNuPfKIpC0tRpmDMzca1fj8ARI1TJkZxVwDNR+7iQmkuwjytfDG1LzX+b9VhR4OeFsGOe9fN6j0C/1eAii7IKIcRfSaFTxqXlpzF0y1DOZ5wnwC2A1T1WUyegjtqxyoSMr78m5+ef0Tg7EzZ/PhqXQoyFsbOEjHyeidpHXHoeYb5ufDG0LdUCPf/5IJMevh8Nv31p/bz9KHhgJmhlKQ8hhPg7KXTKsKTcJIZsGcLlrMtUdK9IVK8oavjWUDtWmWC4epWUyPkABI0Zg1vt2g7PcCE1hxc+PMDVG/lU9nfny6FtCQ/4lx6ZzKvw1fNw7SBodPDQYmj5H8cEFkKIMkgKnTLqStYVhmwZQkJuApW8KhHVM4pw73C1Y5UJisVC4qQILHl5uLdsQcCLLzg8w69x1xnyya9k5BmpVsGDL4a2JczvXwZBX9oJ/x0MeWng5gdPfAi1ujsmsBBClFFS6JRBFzIuMHTLUFLzU6nmU42onlGEeIaoHavMuP7xJ+T9+isaDw/CIiPR6AoxEZ8dbTqexOi1h9GbLDQJ9+PDF1pSwcv17gcoCux5F36aAYrZOjfOwM/Av5qjIgshRJklhU4Zc/r6aYZtGcYN/Q1q+dUiqmcUge7ylE1h6c+fJ/XttwEInjgRl3DH9oJ9vCeOGd+fQFGge92KvPtMMzxc/uG/Yf4N+G4UnPrO+nmTp+GhJTLoWAghCkkKnTLkaOpRRvw0gmxDNvUr1GfVA6vwc/NTO1aZoRiNJEyYiGIw4NmpI34DnnTYuU1mC/M2nubD3ZcAeKZNFWY92gAn3T8MII7bDeuHWScB1DpB7/nQagjIqvNCCFFoUuiUEb8k/cKrW18lz5RHs4rNWN59Od4u6q3FVBalrVxFwcmTaH19CZ09p3ALZNpBeo6ekV8cYt/F6wCM71mbkV1r3f38ZiP8vABi3wLFAgE14PFo6zw5QgghbCKFThmw+9puRm8fjd6sp21oW5Z1XYaHs9y6sEX+seOkrVwJQMi0qTgHV3TIeY9fy2T4pwe5lpGPp4uOtwY0oXfD0LsfkH4BNgyHq79YP2/6HPRZAK7/Mq+OEEKIO5JCp5TbGr+VN35+A6PFSOfKnXmry1u46v5h4Kq4jaWggISJE8FsxrtPb3wfesgh511/6CoR64+hN1moHujJ6kEtuC/4Lr1wZhPsWw7b54GpwLry+CNvQ8PHHZJVCCHKKyl0SrGNFzfy5q43MStmelbtyfyO83HWOasdq8xJfXsphosX0QUFEjJtWomfL0dvYvq3J/jm0FUAutWtyNsDm+Lrfpe/u+QT1mUcEg5bP6/RBR59F/yqlHhWIYQo76TQKaXWn1vPjD0zUFB4tOajzGw/Eyet/HXZKnf/Aa5/8gkAYXPm4OTvX6LnO3Ilg9FrD3M5PQ+tBkZ1v49R3e5Dq73DeBxjPsQugV1vg8Vo7cXpNReaPScDjoUQwk7knbMU+vzU58w/YJ21d2CdgbzZ5k20Gpne31bmnBwSIyJAUfB78gm8OncuuXNZFFb+fIG3Y85isihU8nNn6VNNaVUt4PYXKwqc+h42T4bMeOu+ug/Dg4vB5x/G7wghhLCZFDqlTPSxaJYdWgbAC/Vf4PWWrzvs6aDyJnn+fIwJCThXqkTFiZNK7DznkrOZtP4YBy/fAOChxqHM69fozreqUk7DpolwcYf1c5/K1l6c+o9JL44QQpQAKXRKCUVRePfwu0QdiwLg5SYv83KTl6XIKaLsbdvJ/Pob0GgImx+JzutfFsosAr3JzPs7LrB8+3mMZgVPFx0zHm3AEy0q3/73lp0MOxfBwTVgMYHOFTqMgvvHgov9swkhhLCSQqcUUBSFhb8s5LNTnwEwrsU4BjccrHKqsst04waJvw86DnjhBTxatbL7OQ5evs6kb45xLiUHsM5yPLtvw9vXq8rPgD3vwL73wZhn3VfnQeg1DwKq2z2XEEKIW0mhozKLYmH2vtl8ffZrACa3mcxTdZ9SOVXZpSgKSTNmYk5Lw6VWTYLGjrFr+4mZ+SzcdIYNh68BEOjlwoxHG/BQo9Bbe3H02fDLB9aBxgUZ1n2VWkD36VCj5MYKCSGEuJUUOioyWUxM3T2V/7v4f2g1Wma2n0nfWn3VjlWmZf3fD2Rv3gxOToTNX4DW1T5zDuXqTaz6+QKrYy9SYLQAMKBlZd58sB5+Hi5/vjDvOuxfCftX/VngBNaB7tOg7kMyDkcIIRxMCh2VGM1GJsZOJOZyDE4aJyI7RtK7em+1Y5VpxuRkkmbPBiBwxAjcGzYodpsGk4VvDl3l7ZizpGTrAWhdLYApD9ejceW/rDOWccV6e+rgR2DMte6rUAs6vg6NB4LWsSukCyGEsJJCRwUFpgLG7RhH7LVYnLXOLOmyhC7hXdSOVaYpikLi5ClYsrJwa9iQwOHDitWewWThvwevsGL7Ba5l5ANQJcCDiD516d0wxHqbSlEgLtbae3Nmo3VdKoCQxtBxHNR7VAocIYRQmRQ6DpZnzOO1ba9xIOkAbjo3lnVbRvuw9mrHKvMy1q0jd9cuNC4uhC2Yj8a5aDNI5xvMfH3oKu9vP09CZgEAQd6ujOhck+faVsHVSQf5N+DY1/BLNKSe/vPgah2hwxio1V1uUQkhRCkhhY4DZRmyeOWnV/gt9Tc8nT1Z3n05LYJlReriMsTHk7xwEQAVXx+Ha82aNrdxLSOfT/deZu0v8WTkGa1tebvycpeaPN26Cm5aBS5shd++gNMbwWy9jYWzJzR5CloPhYr17PY9CSGEsA8pdBzkRsENhscM59T1U/i4+LCqxyoaBjZUO1aZp5jNJEyKQMnLw6N1a/wHDSr0sRaLwr6L6Xy67zKbTyRhUaz7wwPcGXJ/DQa2rIRb0kHYuhqOfwM5yX8eXLEBNB8ETZ8BN187f1dCCCHsRQodB0jNS2VYzDDOZ5wnwC2A1T1WUyegjtqxyoXra9aQf+gQWk9PQufNQ6P996UyLqTmsP7QVTYcunbz9hRAh1oVGNy2Ml09LqI7vRze+Q5ykv480KMCNHrSWtyENJbbU0IIUQZIoVPCEnMSGbJlCPHZ8VT0qEhUzyhq+NZQO1bZZTZDbCwkJlJgsZC67B0Agt+MwKVypbsedjk9ly0nktl4PJHD8Rk393u7OfFcPSdeCDpHSOqX8P3PoM/680BXH6jTx7pEQ60e4ORyh9aFEEKUVlLolKD4rHiGbBlCYm4ilbwqEd0zmsreldWOVXatXw+jR8PVqyhAQtVqKG5ueNWtg2///re81GS2cDwhi62nktlyIpkzydk3vxamvcELYVfp7X2R8KxDaE+dg1N/OdijAtT+vbip0Rmc7DMXjxBCCMeTQsde/tLTQGgoFxqFMXTrCFLzU6nmU42onlGEeIaonbLsWr8ennjC+kg3kBoYiN7NDZ3ZROgPP6B8s56z9/dkz4U0dp9PZ/+ldLILTLhTQANNHEOcLtHN+woNOY9P/lVIw/oBgAYqt7T22Nz3AIQ2g0LcAhNCCFH6lYpCZ8WKFSxatIjExEQaNGjA0qVL6dix411f/8033zB16lQuXLhAzZo1mTt3Lv369XNg4r/5S08DwKkqbgyfWIMbnlru87+P1T1WE+geqF6+ss5stl7f34ucfDc30gMqABCSlIzWZCL5pRG8MmIutXQJ1NNcoa/2KnXdrlKDBLT8Pr9N/u/tabTWMTZVO0C1DlClHXgEqPCNCSGEKGmqFzrr1q1jzJgxrFixgg4dOrBq1Sr69OnDyZMnqVKlym2v37t3LwMHDmT27Nn069ePDRs2MGDAAHbt2kWbNm0c/w38rafht5ruvPx6NbI9tDS8mMfKxv3xlSKnSLIKjFy9nk/u5p9o9XsRadFoSAgNBY0Gn6xMfHKst6RCs9LYmjwWqt3hn7R3KIQ1h0rNrH9WbilPSgkhxD1Coyi/v0OrpE2bNjRv3pz333//5r569erRt29fIiMjb3v9wIEDycrK4scff7y5r3fv3vj7+/Pll1/+6/mysrLw9fUlMzMTHx+f4oU3m6FatZs9Ob/U9eTV0VXIc9fR/Ewu7y2Nx8MviJRdW0F3b86QazErmMxGLGYTZpMRs9mMviAPQ34e+oIcjPp8jPk5GHMzMRdkQkEWGn0WzoYb+JizqKDJJOREMj7rrwNQ4OLKlfDKoECNuEvoLJab51Ke9EHTvSlUrG+d06ZifQhuAD6han37Qggh7KSo79+q9ugYDAYOHjzIpEmTbtnfs2dP9uzZc8dj9u7dy9ixY2/Z16tXL5YuXXrH1+v1evR6/c3Ps7Ky7vi6IomNvVnk7GngyajRVdG7aGl7PIdl71zGw6BAfhKhs1rduadB/LM/akNv081dbgY9NS5dwuDsfEuRA6AZsQG6dXNgQCGEEKWdqu++aWlpmM1mgoODb9kfHBxMUlLSHY9JSkqy6fWRkZHMnDnTPoH/LjHx5mbIdSOeBRbanchh8YoruBr/7CgzZGuxKEVbkqCsUdDc9rlZo8WCDgtaLGgxalwwal0xa10wa10xO7ljcfFG4+aL1t0HZw9fPHyD8KkQiptfMLj6Q0wfSEwCRUFnseD+l+IVjQYqV4bOnR383QohhCjtSkU3g+ZvE68pinLbvqK+PiIignHjxt38PCsri/Dw8GKk/YvQP2+J1Eg08Nnsi4RcN+BsvvVlLq99D1262Oec96p337OOhfpjMc0//PH3vnTpPXt7UAghxN2p+gxtYGAgOp3utt6YlJSU23pt/hASEmLT611dXfHx8bnlw246drT2JPz+Zhue+rciR6OB8HDr60Tx9O8PX38Nlf42KWDlytb9f5tHRwghhACVCx0XFxdatGhBTEzMLftjYmJo3/7OK3q3a9futtdv2bLlrq8vUTodLFtm3f57j5L0NNhf//4QFwfbt8MXX1j/vHRJihwhhBB3pfqtq3HjxjFo0CBatmxJu3btWL16NfHx8YwYMQKA559/nkqVKt18Amv06NF06tSJBQsW8Nhjj/Htt9/y008/sWvXLnW+gT96Gv4yjw5g7WlYulTehO1Np5PbgEIIIQpN9UJn4MCBpKenM2vWLBITE2nYsCEbN26katWqAMTHx6P9yyy17du3Z+3atUyZMoWpU6dSs2ZN1q1bp84cOn/o3x8ee+yWmZHp2FF6coQQQgiVqT6PjqPZdR4dIYQQQjhEUd+/ZUEfIYQQQpRbUugIIYQQotySQkcIIYQQ5ZYUOkIIIYQot6TQEUIIIUS5JYWOEEIIIcotKXSEEEIIUW5JoSOEEEKIcksKHSGEEEKUW6ovAeFof0wEnZWVpXISIYQQQhTWH+/bti7ocM8VOtnZ2QCEh4ernEQIIYQQtsrOzsbX17fQr7/n1rqyWCwkJCTg7e2NRqOxa9tZWVmEh4dz5coVWUerBMl1dgy5zo4h19lx5Fo7RkldZ0VRyM7OJiws7JbFvv/NPdejo9VqqVy5comew8fHR/4TOYBcZ8eQ6+wYcp0dR661Y5TEdbalJ+cPMhhZCCGEEOWWFDpCCCGEKLd0M2bMmKF2iPJEp9PRpUsXnJzuubuCDiXX2THkOjuGXGfHkWvtGKXpOt9zg5GFEEIIce+QW1dCCCGEKLek0BFCCCFEuSWFjhBCCCHKLSl0hBBCCFFuSaFjoxUrVlC9enXc3Nxo0aIFsbGx//j6b775hvr16+Pq6kr9+vXZsGGDg5KWbbZc56ioKDp27Ii/vz/+/v488MADHDhwwIFpyy5b/z3/Ye3atWg0Gvr27VvCCcsHW69zRkYGI0eOJDQ0FDc3N+rVq8fGjRsdlLbssvU6L126lDp16uDu7k54eDhjx46loKDAQWnLpp07d/LII48QFhaGRqPhf//7378e8/PPP9OiRQvc3NyoUaMGK1eudEDSv1BEoa1du1ZxdnZWoqKilJMnTyqjR49WPD09lcuXL9/x9Xv27FF0Op0yb9485dSpU8q8efMUJycnZd++fQ5OXrbYep2feeYZZfny5crhw4eVU6dOKYMHD1Z8fX2Vq1evOjh52WLrdf5DXFycUqlSJaVjx47KY4895qC0ZZet11mv1ystW7ZUHnzwQWXXrl1KXFycEhsbqxw5csTBycsWW6/zZ599pri6uiqff/65cunSJWXz5s1KaGioMmbMGAcnL1s2btyoTJ48Wfnmm28UQNmwYcM/vv7ixYuKh4eHMnr0aOXkyZNKVFSU4uzsrHz99dcOSqwoUujYoHXr1sqIESNu2Ve3bl1l0qQJeEGdAAAO0klEQVRJd3z9gAEDlN69e9+yr1evXspTTz1VYhnLA1uv89+ZTCbF29tb+fjjj0siXrlRlOts+v/27j2mqfONA/j3WCgirTDlKjI6iiBeEASDXFypbOJY0JlNIWGixG2KmKBjIEar4v3CRWc2nOJgWQzEOV2cl6HM1iHoog7mHEwFBZOtytjQcdlGi+/vD3+eeARci1JtfT5JE87T95zznKcNfTjnPVSvZ+Hh4aygoIDNmTOHGh0DGFvn/Px85uXlxTo7O02RnsUwts4pKSls8uTJgtj777/PIiIi+i1HS2NIo5ORkcFGjhwpiM2fP59NnDixP1MToEtXBurs7MSFCxcwZcoUQXzKlCmorKzscZ0zZ850Gx8dHd3reNK3Oj+so6MDOp0OQ4YM6Y8ULUJf67xmzRo4OTlh3rx5/Z2iRehLnQ8dOoTQ0FCkpKTAxcUFY8aMwYYNG9DV1WWKlM1SX+ocERGBCxcu8Je5r127hqNHj+L111/v93yfJ719Dp4/fx46nc4kOTz9f1loJpqbm9HV1QUXFxdB3MXFBTdv3uxxnZs3bxo1nvStzg/LzMyEu7s7Xnnllf5I0SL0pc4VFRXYs2cPqqurTZGiRehLna9du4aTJ08iISEBR48exdWrV5GSkgK9Xo+VK1eaIm2z05c6x8fH4/fff0dERAQYY9Dr9UhOTkZmZqYpUn5u9PY5qNfr0dzcDDc3t37PgRodI3EcJ1hmjHWLPc54ck9f67ZlyxYUFxdDo9Fg4MCB/ZWexTC0zq2trXj77bexe/duODo6mio9i2HM+/nu3btwdnbGrl27IBKJEBQUhN9++w1bt26lRuc/GFNnjUaD9evX4+OPP0ZISAjq6uqQmpoKNzc3qFQqU6T73Ojpdekp3l+o0TGQo6MjRCJRt78OmpqaunWr97m6uho1nvStzvdlZ2djw4YNKCsrg7+/f3+mafaMrXN9fT0aGhoQGxvLx+7evQsAsLKywuXLlyGXy/s3aTPUl/ezm5sbrK2tIRKJ+Jifnx9u3ryJzs5OiMXifs3ZHPWlziqVCrNnz8Y777wDABg7diza29vx3nvvYfny5RgwgGZ2PAm9fQ5aWVlh6NChJsmBXkkDicViBAUF4cSJE4L4iRMnEBYW1uM6oaGh3cYfP3681/Gkb3UGgK1bt2Lt2rX45ptvEBwc3N9pmj1j6zxy5Ej89NNPqK6u5h/Tpk2DUqlEdXU1PDw8TJW6WenL+zk8PBx1dXV8IwkAV65cgZubGzU5vehLnTs6Oro1MyKRCOzeTTr9luvzprfPweDgYFhbW5smCZNNe7YA929f3LNnD6upqWGLFy9mdnZ2rKGhgTHG2OzZswUz/CsqKphIJGKbNm1itbW1bNOmTXR7uQGMrfPmzZuZWCxm+/fvZ1qtln+0trY+rUMwC8bW+WF015VhjK3zjRs3mEQiYYsWLWKXL19mhw8fZs7OzmzdunVP6xDMgrF1XrVqFZNKpay4uJhdu3aNHT9+nMnlcjZr1qyndQhmobW1lVVVVbGqqioGgOXm5rKqqir+Nv7MzEw2e/Zsfvz928uXLFnCampq2J49e+j28mfdRx99xDw9PZlYLGbjx49np06d4p9TKBRszpw5gvFffPEF8/X1ZdbW1mzkyJHsyy+/NHHG5smYOnt6ejIA3R6rVq0yfeJmxtj384Oo0TGcsXWurKxkISEhzMbGhnl5ebH169czvV5v4qzNjzF11ul0bPXq1Uwul7OBAwcyDw8PtnDhQtbS0vIUMjcfarW6x9+392s7Z84cplAoBOtoNBoWGBjIxGIxk8lkLD8/36Q5c4zROTpCCCGEWCaao0MIIYQQi0WNDiGEEEIsFjU6hBBCCLFY1OgQQgghxGJRo0MIIYQQi0WNDiGEEEIsFjU6hBBCCLFY1OgQQgghxGJRo0MIIY+hqKgIDg4O/b4fmUwGjuPAcRxu3779yHzuj1u8eHG/50XIs44aHULM2M6dOyGVSqHX6/lYW1sbrK2tMWnSJMHY8vJycByHK1euGLRtU32A99Xq1asREBBg0n3KZDJs27ZNEIuLizO4po9rzZo10Gq1sLe373VMXFwctFotQkNDTZITIc86anQIMWNKpRJtbW04f/48HysvL4erqyvOnTuHjo4OPq7RaDBs2DD4+PiYNMeuri7BN3E/axhjgkbRWLa2tnB2dn6CGfVOKpXC1dUVHMc9Mh9XV1f6pnNC/o8aHULMmK+vL4YNGwaNRsPHNBoNpk+fDrlcjsrKSkFcqVTyy7m5uRg7dizs7Ozg4eGBhQsXoq2tjR+blJSEO3fu8JdBVq9eDQDo7OxERkYG3N3dYWdnh5CQEMH+758JOnz4MEaNGgUbGxs0NjZ2y72lpQUJCQlwcnKCra0tRowYgcLCQv75pUuXwsfHB4MGDYKXlxdUKhV0Oh2/j6ysLPz44498fkVFRWhoaADHcaiurua3c/v2bXAcx+eo0WjAcRxKS0sRHBwMGxsblJeXo76+HtOnT4eLiwskEgkmTJiAsrIyfjuRkZFobGzEkiVL+H0+eLwPys/Ph1wuh1gshq+vLz7//HPB8xzHoaCgADNmzMCgQYMwYsQIHDp0qNfXmRDSd9ToEGLmIiMjoVar+WW1Wo3IyEgoFAo+3tnZiTNnzgganQEDBuDDDz/EpUuX8Nlnn+HkyZPIyMgAAISFhWHbtm0YPHgwtFottFotPvjgAwBAUlISKioqUFJSgosXL2LmzJmYOnUqrl69ym+7o6MDGzduREFBAX7++ecez3ioVCrU1NTg2LFjqK2tRX5+PhwdHfnnpVIpioqKUFNTg+3bt2P37t3Iy8sDcO/yTFpaGkaPHs3nFxcXZ1TdMjIysHHjRtTW1sLf3x9tbW2IiYlBWVkZqqqqEB0djdjYWNy4cQMAcODAAQwfPpy/fKTVanvc7sGDB5Gamoq0tDRcunQJ8+fPR1JSkuA1AoCsrCzMmjULFy9eRExMDBISEvDnn38adQyEEAOY9LvSCSFP3K5du5idnR3T6XTsr7/+YlZWVuzWrVuspKSEhYWFMcYYO3XqFAPA6uvre93Ovn372NChQ/nlwsJCZm9vLxhTV1fHOI5jv/76qyAeFRXFli1bxq8HgFVXVz8y79jYWJaUlGTwcW7ZsoUFBQXxy6tWrWLjxo0TjLl+/ToDwKqqqvhYS0sLA8DUajVjjDG1Ws0AsK+++uo/9zlq1Ci2Y8cOftnT05Pl5eUJxjxcp7CwMPbuu+8KxsycOZPFxMTwywDYihUr+OW2tjbGcRw7duxYr7n0tO9HUSgULDU11eDxhFgqOqNDiJlTKpVob2/HuXPnUF5eDh8fHzg7O0OhUODcuXNob2+HRqPBiy++CC8vL349tVqNV199Fe7u7pBKpUhMTMQff/yB9vb2Xvf1ww8/gDEGHx8fSCQS/nHq1CnU19fz48RiMfz9/R+Zd3JyMkpKShAQEICMjAzBZTYA2L9/PyIiIuDq6gqJRAKVSsWfXXkSgoODBcvt7e3IyMjAqFGj4ODgAIlEgl9++cXofdbW1iI8PFwQCw8PR21trSD2YH3s7OwglUrR1NRk1L4efA0WLFhg1LqEPC+snnYChJDH4+3tjeHDh0OtVqOlpQUKhQIA4OrqipdeegkVFRVQq9WYPHkyv05jYyNiYmKwYMECrF27FkOGDMHp06cxb948fh5MT+7evQuRSIQLFy5AJBIJnpNIJPzPtra2j5wwCwCvvfYaGhsbceTIEZSVlSEqKgopKSnIzs7G2bNnER8fj6ysLERHR8Pe3h4lJSXIycl55DYHDLj3txtjjI/1djx2dnaC5fT0dJSWliI7Oxve3t6wtbXFW2+9hc7OzkfusycPHztjrFvM2tq62zrGTtp+cC7S4MGDjcySkOcDNTqEWAClUgmNRoOWlhakp6fzcYVCgdLSUpw9exZJSUl8/Pz589Dr9cjJyeGbg3379gm2KRaL0dXVJYgFBgaiq6sLTU1N3W5f7wsnJyfMnTsXc+fOxaRJk5Ceno7s7GxUVFTA09MTy5cv58c+PKG5p/ycnJwAAFqtFoGBgQCEzcCjlJeXY+7cuZgxYwaAe7fpNzQ0/Oc+H+bn54fTp08jMTGRj1VWVsLPz8+gPIzh7e39xLdJiKWhRocQC6BUKpGSkgKdTsef0QHuNTrJycn4559/BBOR5XI59Ho9duzYgdjYWFRUVGDnzp2CbcpkMrS1teHbb7/FuHHjMGjQIPj4+CAhIQGJiYnIyclBYGAgmpubcfLkSYwdOxYxMTEG57xy5UoEBQVh9OjR+Pfff3H48GG+GfD29saNGzdQUlKCCRMm4MiRIzh48GC3/K5fv47q6moMHz4cUqkUtra2mDhxIjZt2gSZTIbm5masWLHCoHy8vb1x4MABxMbGguM4qFSqbmdYZDIZvvvuO8THx8PGxkYwefq+9PR0zJo1C+PHj0dUVBS+/vprHDhwQHAHFyHEdGiODiEWQKlU4u+//4a3tzdcXFz4uEKhQGtrK+RyOTw8PPh4QEAAcnNzsXnzZowZMwZ79+7Fxo0bBdsMCwvDggULEBcXBycnJ2zZsgUAUFhYiMTERKSlpcHX1xfTpk3D999/L9i+IcRiMZYtWwZ/f3+8/PLLEIlEKCkpAQBMnz4dS5YswaJFixAQEIDKykqoVCrB+m+++SamTp0KpVIJJycnFBcXAwA+/fRT6HQ6BAcHIzU1FevWrTMon7y8PLzwwgsICwtDbGwsoqOjMX78eMGYNWvWoKGhAXK5nD979LA33ngD27dvx9atWzF69Gh88sknKCwsRGRkpFH1IYQ8GRx78GI2IYSQZ5JMJsPixYsN/lqHyMhIBAQEdPtPzoQ8b+iMDiGEmImlS5dCIpHgzp07vY7Zu3cvJBIJysvLTZgZIc8uOqNDCCFmoLGxkb+DzMvLi59E/rDW1lbcunULAODg4NDjPCJCnifU6BBCCCHEYtGlK0IIIYRYLGp0CCGEEGKxqNEhhBBCiMWiRocQQgghFosaHUIIIYRYLGp0CCGEEGKxqNEhhBBCiMWiRocQQgghFut/AbKhfbwwGFsAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f1dfc6c6e48>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids_hs = FF.oil_water_fluids(mu_water=1.1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "syntax: incomplete: premature end of input",
     "output_type": "error",
     "traceback": [
      "syntax: incomplete: premature end of input",
      ""
     ]
    }
   ],
   "source": [
    "ls_res."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## compare with numeric"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  97%|███████████████████████████████████████▊ |  ETA: 0:00:00\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.30435, 2.6087, 3.91304, 5.21739, 6.52174, 7.82609, 9.13043, 10.4348, 11.7391  …  1162.17, 1163.48, 1164.78, 1166.09, 1167.39, 1168.7, 1170.0, 1171.3, 1172.61, 1173.91], [0.0, 0.000333333, 0.000666667, 0.001, 0.00133333, 0.00166667, 0.002, 0.00233333, 0.00266667, 0.003  …  0.297, 0.297333, 0.297667, 0.298, 0.298333, 0.298667, 0.299, 0.299333, 0.299667, 0.3], [0.0, 0.00041411, 0.000828221, 0.00124233, 0.00165644, 0.00207055, 0.00248466, 0.00289877, 0.00331288, 0.00372699  …  0.368972, 0.369387, 0.369801, 0.370215, 0.370629, 0.371043, 0.371457, 0.371871, 0.372285, 0.372699], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0015, 0.0018, 0.0021, 0.0024, 0.0027  …  0.1473, 0.1476, 0.1479, 0.1482, 0.1485, 0.1488, 0.1491, 0.1494, 0.1497, 0.15], [1.0, 0.847366, 0.846181, 0.845068, 0.843993, 0.842946, 0.841919, 0.840909, 0.839913, 0.83893  …  0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2], [0.0, 2.8065e-83, 3.27771e-81, 1.92605e-79, 7.58696e-78, 2.25277e-76, 5.37651e-75, 1.0741e-73, 1.84716e-72, 2.79106e-71  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "# plot(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24.000000000000007, 0.5, 'Water saturation [-]')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1.0.-c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Low salinity flooding, an exceptional case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n",
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f1dfd33bfd0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sor_hs = 0.25\n",
    "sw_init = 1-sor_hs\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=30.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  88%|████████████████████████████████████▏    |  ETA: 0:00:01\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.30435, 2.6087, 3.91304, 5.21739, 6.52174, 7.82609, 9.13043, 10.4348, 11.7391  …  1162.17, 1163.48, 1164.78, 1166.09, 1167.39, 1168.7, 1170.0, 1171.3, 1172.61, 1173.91], [0.0, 0.000333333, 0.000666667, 0.001, 0.00133333, 0.00166667, 0.002, 0.00233333, 0.00266667, 0.003  …  0.297, 0.297333, 0.297667, 0.298, 0.298333, 0.298667, 0.299, 0.299333, 0.299667, 0.3], [0.0, 6.4578e-14, 1.07322e-13, 1.02696e-13, 4.08932e-14, 1.14353e-13, 1.59132e-14, -1.75785e-14, -3.84877e-14, -7.71605e-14  …  2.26948e-12, 2.34794e-12, 2.26208e-12, 2.31482e-12, 2.31704e-12, 2.24709e-12, 2.27762e-12, 2.33147e-12, 2.34886e-12, 2.28854e-12], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0015, 0.0018, 0.0021, 0.0024, 0.0027  …  0.1473, 0.1476, 0.1479, 0.1482, 0.1485, 0.1488, 0.1491, 0.1494, 0.1497, 0.15], [1.0, 0.847385, 0.846209, 0.845104, 0.844037, 0.842997, 0.841977, 0.840974, 0.839985, 0.839009  …  0.75, 0.75, 0.75, 0.75, 0.75, 0.75, 0.75, 0.75, 0.75, 0.75], [0.0, 3.94379e-83, 4.60356e-81, 2.70355e-79, 1.06427e-77, 3.15785e-76, 7.53089e-75, 1.50329e-73, 2.58308e-72, 3.89962e-71  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5, 1.0, 'tertiary low-sal water flood')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1.0.-c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")\n",
    "title(\"tertiary low-sal water flood\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f1dfc8f2ba8>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sor_hs = 0.20\n",
    "sw_init = 1-sor_hs\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=30.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.single_ion_adsorption_water_flood_single_shock(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood, 0.0)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  95%|███████████████████████████████████████  |  ETA: 0:00:00\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.30435, 2.6087, 3.91304, 5.21739, 6.52174, 7.82609, 9.13043, 10.4348, 11.7391  …  1162.17, 1163.48, 1164.78, 1166.09, 1167.39, 1168.7, 1170.0, 1171.3, 1172.61, 1173.91], [0.0, 0.000333333, 0.000666667, 0.001, 0.00133333, 0.00166667, 0.002, 0.00233333, 0.00266667, 0.003  …  0.297, 0.297333, 0.297667, 0.298, 0.298333, 0.298667, 0.299, 0.299333, 0.299667, 0.3], [0.0, 8.53484e-14, 1.29063e-13, 2.64834e-13, 2.28405e-13, 2.934e-13, 2.38929e-13, 1.32533e-13, 2.67841e-13, 3.72156e-13  …  3.89029e-12, 3.84831e-12, 3.99865e-12, 3.92302e-12, 3.88705e-12, 3.90301e-12, 3.88335e-12, 3.92394e-12, 3.91724e-12, 3.89538e-12], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0015, 0.0018, 0.0021, 0.0024, 0.0027  …  0.1473, 0.1476, 0.1479, 0.1482, 0.1485, 0.1488, 0.1491, 0.1494, 0.1497, 0.15], [1.0, 0.84743, 0.846273, 0.845187, 0.844139, 0.843117, 0.842116, 0.841132, 0.840161, 0.839204  …  0.8, 0.8, 0.8, 0.8, 0.8, 0.8, 0.8, 0.8, 0.8, 0.8], [0.0, 5.574e-83, 6.5253e-81, 3.84301e-79, 1.51705e-77, 4.51377e-76, 1.07939e-74, 2.16048e-73, 3.72227e-72, 5.63435e-71  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24.000000000000007, 0.5, 'Water saturation [-]')"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24.000000000000007, 0.5, 'Water saturation [-]')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "# plot(xt_num/(core_props.length)/pv_num[end], c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "# plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solvent injection: DME example\n",
    "One necessary detail is the volumetric partition coefficient that is needed for finding the analytical solution. It can be done by doing some thermodynamic magic for finding the partial molar volumes of DME in the aqueous and in the oleic phase.  \n",
    "I've done it in another file, because it is boring for everybody else (not me, I love thermodynamics). The result is here. I have also shown the molar and mass partition coefficients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iSEREpIQMw2DJwSVM+nESWflZVHOsxgstX6Bfs344mCrtE66qPBVDIiIiJXDm4hnGbBrDupPrAAjzCSM+Kp7gmsHXOFMqOhVDIiIiV2EYBiuOrCB+SzzmPDPODs48d8dzPH7r4zg6ONo7npQBFUMiIiJXkJaTRtzmOL459g0Azb2bMyFqAo1qNbJzMilLKoZEREQuY9XxVYzbNI60nDScTE48Hfo0T4U+hbODs72jSRlTMSQiIvIH5jwzE7dM5PPDnwPQyKsR8VHx3Fr7Vjsnk/KiYkhERORXG5I2ELsxltMXT+NgcmBgi4EMCR+Ci6OLvaNJOVIxJCIiVV5WfhZvbH2D/9v/fwAE1wwmLjKOcN9wOyeTG0HFkIiIVGk/pvxIzIYYkjKTAPh787/z/J3P4+bkZudkcqOoGBIRkSoppyCHqdun8uHPHwLgX92f8ZHjaV2vtZ2TyY2mYkhERKqc3Wd2E70+mqPmowD0bdyXl+56iRouNewbTOxCxZCIiFQZeZY8Zu6aydy9c7EaVnzdfBnTbgztA9rbO5rYkYohERGpEn4+9zPRG6I5cP4AAPc3vJ/XWr+Gp6unnZOJvakYEhGRm1q+NZ85e+bwzq53KDAK8K7mTUzbGLoEd7F3NKkgVAyJiMhN61D6IaLXR/PTuZ8A6BLUhVFtR1Hbrbadk0lFomJIRERuOharhQ/2fcDbO94mz5qHh4sHI9uMpEeDHphMJnvHkwpGxZCIiNxUjpuPM2rDKHac3gFAVP0oxrYbi6+7r52TSUWlYkhERG4KVsPKp4mf8ta2t8guyMbdyZ1XW79K70a9NRokV6ViSEREKr3kzGRiNsawJXkLAK39WjMuchz1a9S3czKpDFQMiYhIpWUYBksOLuH1H18nMz+Tao7VGNZyGP2b9cfB5GDveFJJqBgSEZFK6czFM4zdNJa1J9cCEOYTRnxUPME1g+2cTCobFUMiIlKpGIbByqMridschznPjLODM0PvGMqAWwfg6OBo73hSCakYEhGRSuN8znniNsfx9bGvAWju3Zz4qHga12ps52RSmakYEhGRSmH18dWM3TSWtJw0nExOPB36NE+FPoWzg7O9o0klp2JIREQqNHOemUk/TGLZoWUANPJqRFxUHC1qt7BzMrlZqBgSEZEKa0PSBmI3xnL64mkcTA4MbDGQIeFDcHF0sXc0uYmoGBIRkQonKz+LN7e+ycL9CwEI8ggiPiqecN9wOyeTm5FdN2FYt24dPXv2xN/fH5PJxJIlS67afs2aNZhMpku+UlJSirWbMWMGISEhVKtWjTZt2vDDDz+U52WIiEgZ+jHlR/ou61tUCD3S7BEW9lyoQkjKjV2LoaysLMLCwpgxY4ZN5yUmJpKcnFz05ev7+/NmPv30U4YPH87o0aPZvn07YWFhdOvWjdOnT5d1fBERKUM5BTlM+mEST371JEmZSfhX92f2X2Yzos0I3J3d7R1PbmJ2vU3WvXt3unfvbvN5vr6+eHl5Xfa9yZMnM3jwYAYNGgTArFmzWL58OXPnzuW11167rrwiIlI+dp/ZTfT6aI6ajwLQt3FfXrrrJWq41LBvMKkSKuVe5eHh4dSrV4+uXbuyYcOGouN5eXls27aNLl26FB1zcHCgS5cubNq06Yr95ebmYjabi32JiEj5y7PkMXX7VB5b8RhHzUfxcfPhP/f8hzHtxqgQkhumUhVD9erVY9asWXz22Wd89tlnBAYG0qlTJ7Zv3w7A2bNnsVgs1K1bt9h5devWvWRe0R8lJCTg6elZ9BUYGFiu1yEiIvBL2i/0W96P2XtmYzWs9GjYg8V/W0z7gPb2jiZVTKVaTda0aVOaNm1a9Lpdu3YcOnSIt956iw8++KDU/Y4YMYLhw4cXvTabzSqIRETKSYG1gDl75jBr1ywKjAJqudYiJiKGrsFd7R1NqqhKVQxdTuvWrVm/fj0AderUwdHRkdTU1GJtUlNT8fPzu2Ifrq6uuLq6lmtOERGBQ+mHiF4fzU/nfgKgS1AXRrUdRW232nZOJlVZpbpNdjk7d+6kXr16ALi4uNCyZUtWrVpV9L7VamXVqlVERETYK6KISJVnsVp4/6f3eejzh/jp3E94uHiQ0D6ByZ0mqxASuyvRyNC0adNs7njQoEF4eHhctU1mZiYHDx4sen3kyBF27tyJt7c3QUFBjBgxgqSkJObPnw/AlClTaNCgAS1atCAnJ4fZs2ezevVqvv7666I+hg8fzoABA7jrrrto3bo1U6ZMISsrq2h1mYiI3FjHzccZtWEUO07vACCqfhRjIsZQt3rda5wpcmOUqBgaNmwYAQEBODo6lqjTEydOcP/991+zGNq6dSudO3cuev3bvJ0BAwYwb948kpOTOX78eNH7eXl5vPjiiyQlJeHu7k5oaCjffvttsT4efvhhzpw5Q2xsLCkpKYSHh7Ny5cpLJlWLiEj5shpWFiQuYPK2yWQXZOPu5M4rrV6hT+M+mEwme8cTKWIyDMO4ViMHBwdSUlKKbW54NR4eHuzatYuGDRted0B7MJvNeHp6kpGRQc2aNe0dR0Sk0knOTCZ2YyybkzcD0NqvNeMix1G/Rn07J5ObWWl/f5doZGj06NHUqFHy/R5GjhyJt7d3iduLiMjNwTAMlhxcwus/vk5mfibVHKsxrOUw+jfrj4Op0k9TlZtUiUaGqhqNDImI2O7MxTOM3TSWtSfXAhDqE0p8ZDwhniH2DSZVRml/f19XmT5x4kTS09OvpwsREbkJrDyykt7LerP25FqcHZx5oeULzL93vgohqRSua2SoZs2a7Ny5s9LODboSjQyJiJTM+ZzzxG2O4+tjhat6m3s3Jz4qnsa1Gts5mVRF5Tpn6Ep0h01EpOpafXw1YzeNJS0nDSeTE4NDBzM4dDDODs72jiZik0q/A7WIiNxY5jwzk36YxLJDywBo5NWIuKg4WtRuYedkIqVzXcXQvn378Pf3L6ssIiJSwW1M2kjMxhhOXzyNCRMDbxvIkPAhuDrqkUZSeV1XMaSHmYqIVA0X8y/y5tY3WbB/AQBBHkHER8UT7htu52Qi169Eq8m8vb05e/ZsiTsNCgri2LFjpQ4lIiIVx9aUrfRZ1qeoEHqk2SMs7LlQhZDcNEo0MpSens6KFSvw9PQsUafnzp3DYrFcVzAREbGvnIIcpu2Yxof7PsTAwL+6P+Mix9GmXht7RxMpUyW+TTZgwIDyzCEiIhXI7jO7iV4fzVHzUQD6Nu7LS3e9RA2Xkj+NQKSyKFExZLVayzuHiIhUAHmWPGbtmsWcvXOwGlZ83HwY024MHQI62DuaSLnR0noREQEgMS2RketHsv/8fgDua3AfI9uMxNO1ZFMkRCorFUMiIlVcgbWAOXvmMGv3LAqsBdRyrUVMRAxdg7vaO5rIDaFiSESkCjucfpjo9dHsPbcXgHuC7iGmbQy13WrbOZnIjaNiSESkCrJYLXz484dM2z6NPGseHi4ejGwzkh4NemAymewdT+SGUjEkIlLFnDCfYNSGUWw/vR2AyPqRjI0YS93qde2cTMQ+bC6GHn/8cTp37kyHDh245ZZbyiOTiIiUA8MwWJC4gDe3vUl2QTbuTu683Opl+jbuq9EgqdJsLoZcXFxISEjgySefpH79+nTs2JFOnTrRsWNHGjduXB4ZRUTkOiVnJhO7MZbNyZsBaOXXivGR46lfo76dk4nYn8kwDKM0JyYlJbFu3TrWrl3L2rVr2b9/P/Xq1ePkyZNlnfGGM5vNeHp6kpGRQc2aNe0dR0Sk1AzDYOmhpUz6YRKZ+ZlUc6zGsJbD6N+sPw6mEj2RSaTSKO3v71LPGapVqxa1a9emVq1aeHl54eTkhI+PT2m7ExGRMnY2+yxjN45lzck1AIT6hBIfGU+IZ4hdc4lUNDYXQyNHjmTNmjXs2LGD5s2b07FjR1577TU6dOhArVq1yiOjiIjYaOWRlcRtiSMjNwNnB2eGhA9hYIuBODo42juaSIVj820yBwcHfHx8eOGFF+jTpw9NmjQpr2x2o9tkIlJZnc85T/yWeL46+hUAzb2bEx8VT+NamtMpN78bdptsx44drF27ljVr1vDmm2/i4uJSNIm6U6dON2VxJCJSGXx3/DvGbBpDWk4ajiZHng59msGhg3F2cLZ3NJEKrdQTqH+za9cu3nrrLT766COsVisWi6WsstmNRoZEpDIx55mZ9MMklh1aBsAtnrcQ3z6eFrVb2DmZyI11w0aGDMNgx44drFmzhjVr1rB+/XrMZjOhoaF07NjR1u5EROQ6bEzaSOzGWFIvpmLCxMDbBjIkfAiujq72jiZSadhcDHl7e5OZmUlYWBgdO3Zk8ODBtG/fHi8vr/LIJyIil3Ex/yJvbn2TBfsXABDkEURcVBx3+N5h52QilY/NxdCHH35I+/btdftIRMROtqZsJWZDDCczC/d1e6TZIzx/5/O4O7vbOZlI5WRzMdSjR4+i73/bYDEgIKDsEomIyGXlFOQwbcc0Ptz3IQYG9arXY3zkeNrUa2PvaCKVms3bj1qtVsaNG4enpyfBwcEEBwfj5eXF+PHjsVqt5ZFRRKTK23NmDw9+/iAf7PsAA4M+jfuw6K+LVAiJlAGbR4aio6OZM2cOEydOJDIyEoD169czZswYcnJyiI+PL/OQIiJVVb4ln5m7ZjJn7xyshhUfNx/GtBtDh4AO9o4mctOweWTo/fffZ/bs2TzzzDOEhoYSGhrKs88+y3//+1/mzZtnU1/r1q2jZ8+e+Pv7YzKZWLJkyVXbL1q0iK5du+Lj40PNmjWJiIjgq6++KtZmzJgxmEymYl/NmjWz9TJFROwuMS2Rfsv78d89/8VqWLmvwX0s/ttiFUIiZczmYigtLe2yxUWzZs1IS0uzqa+srCzCwsKYMWNGidqvW7eOrl278uWXX7Jt2zY6d+5Mz5492bFjR7F2LVq0IDk5uehr/fr1NuUSEbGnAmsB7+5+l37L+7H//H5qudZicqfJTOowCU9XT3vHE7np2HybLCwsjOnTpzNt2rRix6dPn05YWJhNfXXv3p3u3buXuP2UKVOKvZ4wYQJLly7l888/5447fl9O6uTkhJ+fn01ZREQqgsPph4leH83ec3sBuDvwbmIjYqntVtvOyURuXjYXQ6+//jo9evTg22+/JSIiAoBNmzZx4sQJvvzyyzIPeDVWq5ULFy7g7e1d7PiBAwfw9/enWrVqREREkJCQQFBQ0BX7yc3NJTc3t+i12Wwut8wiIpdjsVr48OcPmbZ9GnnWPDycPRjRZgT3N7wfk8lk73giNzWbb5N17NiR/fv307t3b9LT00lPT6dPnz4kJibSvn378sh4RW+88QaZmZk89NBDRcfatGnDvHnzWLlyJTNnzuTIkSO0b9+eCxcuXLGfhIQEPD09i74CAwNvRHwREQBOmE/wxFdP8MbWN8iz5hFZP5LFf1tMz1t6qhASuQGu+9lkZcVkMrF48WJ69epVovYff/wxgwcPZunSpXTp0uWK7dLT0wkODmby5Mk8+eSTl21zuZGhwMBAPZtMRMqVYRgsSFzAm9veJLsgG3cnd15u9TJ9G/dVESRSCuX6bLLdu3eXuMPQ0NASty2tTz75hKeeeoqFCxdetRAC8PLyokmTJhw8ePCKbVxdXXF11XN8ROTGSclKIXZDLJuSNwHQyq8V4yPHU79GfTsnE6l6SlQMhYeHYzKZuNYgkslkKven1v/vf//jiSee4JNPPim2G/aVZGZmcujQIR577LFyzSUiUhKGYbD00FIm/TCJzPxMXB1deaHlC/Rv1h8Hk80zF0SkDJSoGDpy5Ei5fHhmZmaxEZsjR46wc+dOvL29CQoKYsSIESQlJTF//nyg8NbYgAEDmDp1Km3atCElJQUANzc3PD0Ll5u+9NJL9OzZk+DgYE6dOsXo0aNxdHSkf//+5XINIiIldTb7LGM3jmXNyTUAhPqEEhcZRwPPBvYNJlLFlagY6t27N6tWraJWrVqMGzeOl156CXf3638g4NatW+ncuXPR6+HDhwMwYMAA5s2bR3JyMsePHy96/91336WgoIAhQ4YwZMiQouO/tYfC56X179+fc+fO4ePjQ1RUFJs3b8bHx+e684qIlNbKIyuJ2xJHRm4Gzg7OPBv+LANxlDy1AAAgAElEQVRbDMTJweZFvSJSxko0gdrNzY0DBw4QEBCAo6MjycnJ+Pr63oh8dlHaCVgiIn92Puc88Vvi+epo4W75zb2bExcVR5NaTeycTOTmU64TqMPDwxk0aBBRUVEYhsEbb7xBjRo1Lts2Nja2xB8uInIz++74d4zdNJZzOedwNDkyOHQwT9/+NM6OzvaOJiJ/UKKRocTEREaPHs2hQ4fYvn07t956K05Ol9ZRJpOJ7du3l0vQG0kjQyJyPS7kXWDSD5NYemgpALd43kJ8VDwt6rSwczKRm1tpf3/bvM+Qg4MDKSkpuk0mInIZG09tJHZDLKkXUzFhYmCLgQy5Ywiujtq+Q6S8lettsj+yWq22niIictO7mH+Rydsm82nipwAEeQQRFxXHHb53XONMEbE3LWMQEblOW1O2ErMhhpOZJwHo36w/w+4chrvz9a+6FZHyp2JIRKSUcgpyeHvH23yw7wMMDOpVr8e4yHG0rdfW3tFExAYqhkRESmHPmT1Eb4jmSEbhprR9Gvfh5btepobL5VfaikjFpWJIRMQG+ZZ8Zu6aydy9c7EYFuq41WFsu7F0COhg72giUkoqhkRESigxLZGR60ey//x+AO5rcB8j24zE09XTzslE5HqUqBiqVasWJpOpRB2mpaVdVyARkYqmwFrA3L1zmblrJgXWAmq51mJU21H8JeQv9o4mImWgRMXQlClTyjuHiEiFdDjjMNHfR7P33F4A7g68m5iIGOq41bFzMhEpKyUqhgYMGFDeOUREKhSrYeXDfR8ybcc0ci25eDh7MKLNCO5veH+JR8pFpHK4rjlDOTk55OXlFTumHZtFpLI7YT7BqA2j2H668PFCkf6RjGk3Br/qfnZOJiLlweZiKCsri1dffZUFCxZw7ty5S963WCxlEkxE5EYzDIOF+xfyxtY3yC7Ixt3JnZdbvUzfxn01GiRyE3Ow9YRXXnmF1atXM3PmTFxdXZk9ezZjx47F39+f+fPnl0dGEZFyl5KVwj+++QfjN48nuyCbu+rexWd//YwHmjygQkjkJmfzyNDnn3/O/Pnz6dSpE4MGDaJ9+/Y0atSI4OBgPvroI/7+97+XR04RkXJhGAbLDi1j4g8TyczPxNXRlWF3DuOR5o/gYLL570URqYRsLobS0tJo2LAhUDg/6Lel9FFRUTzzzDNlm05EpBydzT7L2I1jWXNyDQChPqHERcbRwLOBfYOJyA1l8589DRs25MiRwu3nmzVrxoIFC4DCESMvL6+yTSciUk5WHl1Jr6W9WHNyDU4OTjx/5/O8f+/7KoREqiCbR4YGDRrErl276NixI6+99ho9e/Zk+vTp5OfnM3ny5PLIKCJSZtJz0onfEs/KoysBaObdjPioeJrUamLnZCJiLybDMIzr6eDYsWNs27aNRo0aERoaWla57MpsNuPp6UlGRoa2ChC5iaw5sYYxG8dwLuccjiZHBocO5unbn8bZ0dne0USkDJT29/d1P5ssODiY4ODg6+1GRKTcXMi7wKQfJrH00FIAGno2ZELUBFrUaWHnZCJSEZSqGFq1ahWrVq3i9OnTWK3WYu/NnTu3TIKJiJSFjac2MnrjaFKyUjBhYmCLgQy5Ywiujq72jiYiFYTNxdDYsWMZN24cd911F/Xq1dP+GyJSIV3Mv8jkbZP5NPFTAAI9AomPiucO3zvsnExEKhqbi6FZs2Yxb948HnvssfLIIyJy3balbmPU+lGczDwJQL+m/Xih5Qu4O7vbOZmIVEQ2F0N5eXm0a9euPLKIiFyXnIIcpu+Yzvx98zEw8Kvux/jI8bSt19be0USkArN5n6GnnnqKjz/+uDyyiIiU2p4ze3joi4d4f9/7GBj0btSbRX9dpEJIRK7J5pGhnJwc3n33Xb799ltCQ0Nxdi6+JFV7DYnIjZRvyWfmrpnM3TsXi2GhjlsdxrYbS4eADvaOJiKVhM3F0O7duwkPDwdg7969xd7TZGoRuZES0xKJXh9N4vlEALo36M7I1iPxqqbd8EWk5Gwuhr777rvyyCEiUmIF1gLe2/se/9n1HwqsBXi5ejGq7Si6hXSzdzQRqYSua9PFkycLV2oEBASUSRgRkWs5nHGYUetHsefsHgDuDrybmIgY6rjVsXMyEamsbJ5AbbVaGTduHJ6enkW7T3t5eTF+/PhLNmAUkZuYxQJr1sD//lf4X4ulXD/OaliZ/9N8Hvr8Ifac3YOHswcToiYwpfMUFUIicl1sLoaio6OZPn06EydOZMeOHezYsYMJEybw9ttvExMTY1Nf69ato2fPnvj7+2MymViyZMk1z1mzZg133nknrq6uNGrUiHnz5l3SZsaMGYSEhFCtWjXatGnDDz/8YFMuEbmGRYsgJAQ6d4ZHHin8b0hI4fFycOLCCZ746gn+vfXf5FpyifSPZNHfFtHzlp6aqygi183mYuj9999n9uzZPPPMM4SGhhIaGsqzzz7Lf//738sWJleTlZVFWFgYM2bMKFH7I0eO0KNHDzp37szOnTsZNmwYTz31FF999VVRm08//ZThw4czevRotm/fTlhYGN26deP06dM2ZRORK1i0CB54AH69TV4kKanweBkWRIZhsCBxAX2X9WVb6jbcnNyIjYhlZpeZ+FX3K7PPEZGqzean1lerVo3du3fTpEmTYscTExMJDw8nOzu7dEFMJhYvXkyvXr2u2ObVV19l+fLlxVax9evXj/T0dFauXAlAmzZtaNWqFdOnTwcKb+sFBgby3HPP8dprr5Uoi55aL3IFFgtGSAicPIkJyHFxxcGw4pKfD4BhMmHxr0/Kzn3g6HhdH3UmO5UpO+PZfmYLALfVvoPh4THUq16/sIFhYMrPwlSQg6kgB7DpRxm+9W/B0em6n1UtIhXIDXtqfVhYGNOnT2fatGnFjk+fPp2wsDBbu7PJpk2b6NKlS7Fj3bp1Y9iwYUDh7tjbtm1jxIgRRe87ODjQpUsXNm3adMV+c3Nzyc3NLXptNpvLOLlI5ZKVW8CepAwSUy6wP/UCJ85nc/L8RUL2/MDcX0eEsqtV43hAII4WC8EnjuNcUIDJMHBKOslL/5rO5qDQUn66gZPndqrV/RyTYw6G1QmvM21ouN+VXza/RoHpFAGmM/ia0nE15Zf6GjOe249n7bqlPl9Ebh42F0Ovv/46PXr04NtvvyUiIgIoLFJOnDjBl19+WeYB/yglJYW6dYv/8Kpbty5ms5ns7GzOnz+PxWK5bJtffvnliv0mJCQwduzYcsksUhnkW6xsO3ae1b+cZtOhc+xLNmOxXjrSclvaWQCy3Nw4GRCA1cER17w8HP60eMI/Ox1XJ5vvwoPjBZx8P8Ohxj4AAnNcmHQmldsL/gfOVz4tz3DCiuYOiUjp2FwMdezYkf379zNjxoyiAqNPnz48++yz+Pv7l3nAG2HEiBEMHz686LXZbCYwMNCOiUTKn2EYbD+ezqLtJ1m+J5n0i8VHWfw9q9G8Xk2a+nkQUrs6AbXcCN5jInP1fzjpXx/DwQH3rCwCk07i8Ke77ZOf787kTp1syvPV0a+I2/gW6fmZOBkGQ85nMDDDXPhDyqUGBLSCemHg0wy8G4KHH1SvA05uuDjYXnhVs/kMEblZleqGub+/P/Hx8WWd5Zr8/PxITU0tdiw1NZWaNWvi5uaGo6Mjjo6Ol23j53flyZaurq64urqWS2aRiiYn38KynaeYu+EIv6RcKDpey92Zzk196djUh1Yh3vh7uV1yrnk/nKgfACYTNTIvUP/UqeKFkMkEAQHQvn2J86Rnnyd+9TBWnt0OQLPcPOLOnKOpRyBEPgHNeoD/neCo+T0iUj5K9NNl9+7d3HbbbTg4OLB79+6rtg0NLe08gWuLiIi45FbcN998U3S7zsXFhZYtW7Jq1aqiidhWq5VVq1YxdOjQcsslUhnkFlhY8OMJpn93kFRz4Rw5N2dHut/uR587Aoi4pTaODle+1ZS+aDHJo0aByURNsxn/lGRMfy6EAKZMKfHk6TV75jN2+2TOYsHRMHgqI5N/1L8H525PQlDE732KiJSjEhVD4eHhpKSk4OvrS3h4OCaTicstQjOZTFhs2HgtMzOTgwcPFr0+cuQIO3fuxNvbm6CgIEaMGEFSUhLz588H4J///CfTp0/nlVde4YknnmD16tUsWLCA5cuXF/UxfPhwBgwYwF133UXr1q2ZMmUKWVlZDBo0qMS5RG4mhmHw9b5U4pbv40Ra4WrPep7VGBQZwsN3BeHpfpXJOL9K++BDUn8dDfZ68AH8wsIwvfBC8eX1AQGFhVCfPtfs70JmKpOWD2RpTuH5DfPymeDTnha9YsArqBRXKSJSeiUqho4cOYKPj0/R92Vl69atdO7cuej1b/N2BgwYwLx580hOTub48eNF7zdo0IDly5fzwgsvMHXqVAICApg9ezbduv3+PKKHH36YM2fOEBsbS0pKCuHh4axcufKSSdUiVcGJtItEL9nLuv1nAPD1cGXo3Y14uFUgrk4lG705O+sdzkyZAoD3gAH4vvZq4UaHvXvD999DcjLUq1d4a6wEI0Kbtr9L7K63SXEAk2EwwLkuQ++bgatPs9JfqIjIdbB5n6F169bRrl07nP60P0dBQQEbN26kQ4cOZRrQHrTPkFR2hmHwyY8niPtiH1l5FlwcHXi6Q0Oe7XwL7i4lm3tjGAZnJr/Fuf/+F4A6Q4ZQZ+iQUu/4fDH3ApO/eJxPMwtHgwMtBnHh/+LOO58uVX8iIn92w/YZ6ty5M8nJyfj6+hY7npGRQefOnW26TSYiZS8jO5+XF+7i632FCwlahdTi9QfCaFCneon7MKxWUuPiOP/x/wDwfeUVaj9R+lvN2499x6jvhnPCVABAP1d/Xuj5Ae7Vfa9xpohI+bO5GDIM47J/GZ47d47q1Uv+w1ZEyt6+U2ae+Wgbx85dxMXRgZe7NeWJqAZXnRj9Z0ZBAcnRo8hYuhRMJvzGjKHWww+VKk9OQQ7TN45j/uHPMUzgV2BhXLOBRES+Uqr+RETKQ4mLoT6/Too0mUwMHDiw2FJ0i8XC7t27adeuXdknFJESWfVzKs/9bwcX8yzU93LjP3+/k7BAL5v6sOblcerFl7jwzTfg6Ij/xIl49ry/VHn2nt3LyNXDOJKdCibonQsv3/8hHv53lqo/EZHyUuJiyNPTEygcGfLw8MDN7fc9SFxcXGjbti2DBw8u+4Qick3zNx1lzLKfsBrQvnEd3u5/B17uLjb1Yc3O5uRz/yJr/XpMzs7Un/IWHvfcY3OWfEs+s3bPYs7u2ViwUqfAwhiTLx3//hlUr21zfyIi5a3ExdB7770HQEhICC+//DLu7u7lFkpESsYwDKatOshb3+4HoF+rQMb3ug1nR9t2ZLZkZnLin/8ke+s2TG5uBEx/mxqRkTbnSUxLJHp9NInnEwHonpnFSO9WeD3wPjhrz2cRqZhsnjP0+OOPk5SUROPGjYsdP3DgAM7OzoSEhJRVNhG5CsMwmLQykVlrDwHwYtcmDL27kc2rvQrOn+fE4KfJ2bsXhxo1CHz3HdzvtO1WVoG1gHk/zWPGzhkUWAvwslgYdTaNbo3+Bn+bod2jRaRCs/mBPgMHDmTjxo2XHN+yZQsDBw4si0wiUgJ/LIRi7r+V5+5pbHMhlH/6NMcff5ycvXtxrFWLoPfn2VwIHc44zOMrHmfq9qkUWAvofDGbxSeT6dakD/SaqUJIRCo8m4uhHTt2EHmZ4fO2bduyc+fOMgklIlc347uDRYXQ+F638WRUA5v7yE9K4tijj5F74CBOvr4Ef/gBbi1alPh8q2Fl/k/zeejzh9hzdg8eTm5MOJvB1NQz1Lm1N/z1bSjFA1RFRG40m/9kM5lMXLhw4ZLjGRkZ2mNI5Ab4cPMx/v1V4Zyc6Pua81jbYJv7yD18hONPPEFBSgrOAQEEvTcXl8DAEp9/4sIJYjbEsC11GwDt6oQzdt96/LIyoEl36P0OOJRsh2sREXuz+c+2Dh06kJCQUKzwsVgsJCQkEBUVVabhRKS47345TezSvQA8d3cjBndoaHMfOb/8wrHHHqMgJQWXhg0J/ujDEhdChmGwIHEBfZf1ZVvqNtyc3Ii54wVmHdiJX1Ya1L8LHpgLjtd+3pmISEVh88jQpEmT6NChA02bNqV9+/YAfP/995jNZlavXl3mAUWk0L5TZoZ+vB2rAQ/dFcDwrk1s7iN7506OP/0PrGYzrrc2J2j2bJy8vUt0bkpWCqM3jmbjqcI5gy3rtmR8m1gCFw+B9ONQqwE88im4aKWpiFQuNo8M3XrrrezevZuHHnqI06dPc+HCBR5//HF++eUXbrvttvLIKFLlnc3M5cn3fyQrz0JEw9rE9brd5snSWZu3cOyJJ7GazbjdcQfB8+aVqBAyDINlh5bRZ2kfNp7aiKujK6+0eoW53eYSuH4aHN8IrjXhkQVQvU5pL1FExG5KtczD39+fCRMmlHUWEbmMAouVoR9vJzkjh4Z1qjPr0Za4ONn2d8yFNWtI+tfzGHl5uEe0JXDGDBxKsFfY2eyzjNs0ju9OfAdAaJ1Q4qLiaODZALa+B9veA0zQdzb42D5SJSJSEZR6zevFixc5fvw4eXl5xY6HhoZedygR+d3rXyWy+XAa7i6OvPNYSzzdbZuPY16xgqSXX4GCAmrccw/1J7+Jwx8ep3MlXx39irjNcaTnpuPk4MSQ8CEMbDEQJwcnSN4FK14tbHhPDDTpVppLExGpEGwuhs6cOcOgQYNYsWLFZd/XijKRsvP1Tym8u+4wAG88GEbjuh42nZ/+2Wckx8SC1UrN++/HP2ECJuerF1PpOelM2DKBFUcL/403825GXGQcTb2bFjbIyYCFA8GSC03uhcgXbL4uEZGKxOY5Q8OGDSM9PZ0tW7bg5ubGypUref/992ncuDHLli0rj4wiVVJyRjavfLYbgKeiGnDf7fVsOj9t/nySo0eB1YrXQw/hP2niNQuhtSfW0ntZb1YcXYGjyZF/hP6Dj+/7+PdCyDDg8+ch7TB4BhZuqqi9hESkkrN5ZGj16tUsXbqUu+66CwcHB4KDg+natSs1a9YkISGBHj16lEdOkSrFYjV44dOdpF/M5/b6nrxyb7MSn2sYBudmzeLM1GkAeA8ahO8rL191wvWFvAu8/uPrLDm4BICGng2Jj4rntjp/WhSx63/w02JwcIIH3gP3kq1EExGpyGwuhrKysvD19QWgVq1anDlzhiZNmnD77bezffv2Mg8oUhW9s+5Q0Tyhaf3vKPGEacMwOP3GG6TNmQtAneeGUufZZ69aCG06tYnYjbGkZKVgwsSAFgMYesdQXB3/NK8o7TB8+XLh951GQGCrUl2biEhFY3Mx1LRpUxITEwkJCSEsLIx33nmHkJAQZs2aRb16tg3ji8ilfkkx89Y3hU+hH/vXFjSoU71E5xlWKynjxpH+yacA+L72KrWv8rzAi/kXmbxtMp8mFrYPqBFAfFQ8d9a9zLPJLAWw6B+QlwlB7SBK84RE5OZhczH0/PPPk5ycDMDo0aO59957+eijj3BxcWHevHllnU+kSsm3WHlxwS7yLQZdmtflgZYBJTrPKCjg1MiRmJd9DiYTfuPGUuvBB6/YfnvqdkZtGMWJCycAeLjpwwxvORx35ysst980HU7+ULifUO9ZetSGiNxUbC6GHn300aLvW7ZsybFjx/jll18ICgqiTh1tuCZyPf7z3SF+OmXGy92ZCX1uK9HGita8PJKGDyfz21Xg5IT/pIl4XmHuXq4ll7e3v838ffMxMPCr7se4duOI8I+48gecSYTvft1X7N4EqGX7s9BERCoym4qh/Px8mjVrxhdffEHz5s0BcHd35847LzOsLiI2OXj6AtO/OwAU3h7z9ah2zXOsFy9ycuhzZG3ciMnFhfpTpuBxd+fLtt17di/R66M5nFG4VL9Xo1680uoVPFyuslzfUgBLnilcRt+oK4T/3fYLExGp4GwqhpydncnJySmvLCJVltVqMHLRXvItBnc38+WvYf7XPMdy4QIn/vFPsrdvx+TuTuCM6VSPuHSEJ9+Szzu732H2ntlYDAt13OowJmIMHQM7XjvYllmQtK3w9ljPqWDjI0BERCoDmzcIGTJkCJMmTaKgoKA88ohUSQu2nuCHo2m4OTsy7m8trnl7rOD8eY4PGEj29u04eHgQNGf2ZQuh/ef388iXj/DO7newGBa6h3Rn8V8Xl6wQOn8Mvosv/P4v48GzfmkuTUSkwrN5ztCPP/7IqlWr+Prrr7n99tupXr34SpdFixaVWTiRquBcZi4JK34B4MW/NCGg1tWfGZafeprjTz5B3sFDOHp7EzRnNtV+vW39mwJrAfN+mseMnTMosBbg5erFqLaj6BZSwsdmGAZ8+RLkX4TgSLjj8VJdm4hIZWBzMeTl5UXfvn3LI4tIlfTvrxLJyM7n1no1Gdgu5Kpt806e5PigJ8g/cQKnunUJem8urg0bFmtzOOMwo9aPYs/ZPQB0CuzE6IjR1HGzYYHDT4vhwNfg6AL3T9Eu0yJyUytRMbRs2TK6d++Os7Mz7733XnlnEqkydp1I59Othcvbx/2tBU6OVy46cg8f5vigJyhITcU5MJCg9+biEvD70nurYeWjnz9i6vap5Fpy8XD24LU2r9GzYc8SrUr7/YMuwMoRhd9HDdfT6EXkpleiYqh3796kpKTg4+ODo6MjycnJRbtQi0jpWK0Gsct+wjCg9x31uSvkyo+2yNm3j+NPDcaSloZLo1sImjMX57q//xs8eeEkMRti2Jq6FYCIehGMixyHX3U/24OtmQiZKeDdUJsrikiVUKKxbx8fHzZv3gwUbvdv01+ZInJZi3YksetEOtVdHBnR/crPHru4YwfHBgzEkpZGtVtvJfiDD4oKIcMwWJC4gD7L+rA1dStuTm7EtI3hna7vlK4QSt0Hm2cWft/93+B87eX9IiKVXYlGhv75z3/yt7/9DZPJhMlkws/vyj9kLRZLmYUTuVll51l446tEAIbe3RjfmpcvOrI2beLEkKEYFy/i1rIlgbNm4uhRuC9QSlYKozeOZuOpjQC0rNuS8ZHjCfQILF0ow4AVr4BhgWb3Q+MupetHRKSSKVExNGbMGPr168fBgwf561//ynvvvYeXl1d5ZxO5af33+8OkmHOo7+XGoMiQy7a5sPo7koYNw8jLo3pkJAFvT8PB3R3DMPj88OdM3DKRC/kXcHV05fk7n+fvzf+Og+k6JjrvWwpHvwenaoU7TYuIVBElXk3WrFkzmjVrxujRo3nwwQdxd7/68l9bzJgxg3//+9+kpKQQFhbG22+/TevWrS/btlOnTqxdu/aS4/fddx/Lly8HYODAgbz//vvF3u/WrRsrV64ss8wipXXanMOstYcAeLV7M6o5X/qcr4wvlnPq1VfBYsGjaxf833wTBxcXzmafZdymcXx34jsAbq9zO3FRcTT0bHhJHzbJz4avYwq/jxwGXkHX15+ISCVi89L60aNHl2mATz/9lOHDhzNr1izatGnDlClT6NatG4mJiZedpL1o0SLy8vKKXp87d46wsDAe/NNDKe+9995iK99cXV3LNLdIab317QEu5lkIC/SiZ2i9S94/v3AhKbGjwTCo+dee+E+YgMnJia+Pfs34zeNJz03HycGJZ8OeZdBtg3BysPmf8aU2ToeM41CzPkQ+f/39iYhUImXwU/T6TJ48mcGDBzNo0CAAZs2axfLly5k7dy6vvfbaJe29vYuvuPnkk09wd3e/pBhydXW96twmEXs4fCaTBb8upY++r/klixHOzZvH6YmTAPDq9zB+sbFk5JmZsGECK46uAKBprabER8XT1Ltp2YQyn4L1kwu/7zoOXMpu1FdEpDKw605qeXl5bNu2jS5dfp+o6eDgQJcuXdi0aVOJ+pgzZw79+vW7ZCfsNWvW4OvrS9OmTXnmmWc4d+7cFfvIzc3FbDYX+xIpD29+sx+L1eCeZr60bvB7YW8YBmemzygqhLyffAK/0aNZl/Q9vZf1ZsXRFTiaHHk69Gn+1+N/ZVcIAayOK9xpOrAt3KYNVUWk6rHryNDZs2exWCzUrVu32PG6devyyy+/XPP8H374gb179zJnzpxix++991769OlDgwYNOHToECNHjqR79+5s2rQJR8dL52ckJCQwduzY67sYkWvYm5TB8t3JmEzwUrffixnDMDj9+r9J+/W2rs+w53EZ9AijN45m8cHFADTwbMCEqAncVue2sg2VvBt2flz4fbd4PYhVRKokm4qh/Px87r33XmbNmkXjxo3LK1OJzZkzh9tvv/2Sydb9+vUr+v72228nNDSUW265hTVr1nDPPfdc0s+IESMYPnx40Wuz2UxgYCmXJ4tcweu/LqXvFV6f5vVqAmBYLKSMHUf6ggUA1B05gv1dmxDzeV9SslIwYeLxWx9n6B1DqeZUxnv+GAZ8HQ0YhSNCAXeVbf8iIpWETcWQs7Mzu3fvLrMPr1OnDo6OjqSmphY7npqaes35PllZWXzyySeMGzfump/TsGFD6tSpw8GDBy9bDLm6umqCtZSrH4+msW7/GZwcTLzQpfDxFkZ+PqdGjMT8xRdgMlF7bAwzgw7zydf/BiCgRgBxUXG0rNuyfEId+BqOrCt8/tg9ZbswQkSkMrF5ztCjjz56yW2p0nJxcaFly5asWrWq6JjVamXVqlVERERc9dyFCxeSm5vLo48+es3POXnyJOfOnaNevUtX7ojcCG99sx/+v707j4/x2h84/plMMlnIhkiEkCAUJSFIxRKpVCxV2t4KV0vdVlvl/qxV7rW2vddSWxeXVmvpJtVbtLeL0ki0CFq01lqChDaxhOyymDm/P6ampmKZSGYmme/79ZqXZ86cec73eGbM13nOcx7gsfZBNKztgaG4mLNjxhoTIWdnSqaP4knn90k4mgBAfPN4Pn3o08pLhAx62Px7AhT5LPg2qpx2hBCiCrB4ztDVq1dZsWIF3377LREREc1bndYAACAASURBVDdMXF64cKFF+xs/fjzDhg2jffv2dOzYkcWLF1NQUGC6umzo0KHUr1+f2bPNF4F79913GTBgALVr1zYrz8/PZ9asWTz66KMEBASQmprKpEmTaNq0KXFxcZZ2V4i7lpKaxY7ULFy0Gkbf3xRDQQFnRo+mMGUnGp2O3X/vzvySt1AlCn8Pf17q/BJRgVGVG9TPCXDhCLh5Q9cJlduWEELYOYuToYMHD9KuXTsAjh07ZvZaee5ZFh8fz4ULF5g+fTqZmZmEh4ezceNG06Tq9PR0nJzMB7COHj3Ktm3b2LRp0w3702q17N+/n9WrV5OdnU1gYCA9e/bk5ZdfllNhwuqUUiz61vg9GdShIQFOpaQ//RxX9u1Dubvx9uN1+Fa3BYABTQcwqcMkPHWelRtU6RVI+pdxu+sEcPet3PaEEMLOaZRSytZB2Jvc3Fy8vb3JycnBy8vL1uGIKmxH6kX+unwXOmcnkp4Oo3jcaIqPHKG0hiuz/mLgWKCitlttZkbNpHtQd+sEtf112DzNuMDi3/eAi7t12hVCiEpW3t/vcq8zdOLECb755huuXLkCGP8HLIQw90biCQCGN/Og6PkRFB85Qn5NLVMGXeVYoKJ3cG829N9gvUToSjZ8v8C4HfMPSYSEEIJynCbLyspi4MCBJCUlodFoOH78OI0bN+app57C19eXBQsWVEacQlQdJSXwn/9wbt8hWpyFjBadeHjVQkp++40sT3hpMFwJ9OXV+/5Jr+Be1o1txxtQlA11mkPYYOu2LYQQdsrikaFx48bh4uJCenq62c1a4+Pj5UaoQkyaBB4eMG4c/u+9w4vb3uPtjbNRv/1Gpg9Me0JL8/AY1vdfb/1EKP887Fxq3L5/KjjduACpEEI4IotHhjZt2sQ333xDgwYNzMpDQ0NJS0ursMCEqHImTYJXXzU9veLqypkGQeidndEVF/NdGw1j+yzkoSYPletig7v23XwoLYDAdtCin/XbF0IIO2VxMlRQUGA2InTNpUuX5Got4bhKSuC6ZSUK3d05U78BBq0WtytXCDp7hqkrNWjf7G2bW15kp8Me4+0+6DFdbrshhBDXsfg0WdeuXXnvvfdMzzUaDQaDgXnz5hETE1OhwQlRZfznP6DXA1Dg4UF6gyAMWi3uhYU0PHsGZ4MB7VW9sZ4tbJ0H+hII7gpN5HsqhBDXs3hkaN68efTo0YMff/yRkpISJk2axKFDh7h06RLbt2+vjBiFsH+pqTcU1SjIp8Gvv+J0/ZWWZdSrdFmpf9yM9f5p1m9fCCHsnMUjQ/feey/Hjh2jS5cu9O/fn4KCAh555BH27dtHkyZNKiNGIezfdZ/9GoWFNDqTfmMi9Kd6VpM8G5QeQntCw0jrty+EEHbO4kUX09PTCQoKKnMCaHp6Og0bNqyw4GxFFl0UFispAQ8PlF7PTWfjaLVQWAg6nfXiOncYlkYBCp7ZCoHh1mtbCCGszGqLLoaEhHDhwoUbyrOysggJCbF0d0JUDzodV/4+BoCb/u9i/HjrJkJgHBVCGa8ek0RICCHKZHEypJQqc1QoPz8fNze3CglKiKro7b7P8VbHRzBo/vS10mrhhRdg3jzrBpSxH458Dmig+z+s27YQQlQhdzyBevz48YDx6rFp06aZXV6v1+vZtWsX4eHyP0/hmIpK9axOOc2lmL8R+OYCHtq+wThZukkTeP55648Iwe+jQsC9j4B/S+u3L4QQVcQdJ0P79u0DjCNDBw4cQHfdP+46nY6wsDAmTpxY8REKUQV8sucslwpKaODrTp92DaHDWNsG9OteOPoVaJwgerJtYxFCCDt3x8lQUlISAMOHD+e1116TicVC/E5vULzz/UkAnu4SgrO23Pc/rjjXRoVaDwS/ZraNRQgh7JzF6wytXLmyMuIQosrafDiTtKxCfDxcGNghyNbhwJkf4Pgm0GghepKtoxFCCLtncTIE8OOPP7J27VrS09MpKSkxe23dunUVEpgQVcXy708B8HhkIzx05fpKVaxro0Jhg6G2rP0lhBC3Y/F4fkJCAlFRURw5coT169dTWlrKoUOH2LJlC97e3pURoxB2a2/6ZfakXUandWJoVCNbhwNndkNqIjg5QzeZwyeEEHfC4mTo3//+N4sWLeJ///sfOp2O1157jV9++YWBAwdWiwUXhbDEtblC/cMDqetpB0tLJP3b+GfYYKgl634JIcSdsDgZSk1NpW/fvoDxKrKCggI0Gg3jxo3j7bffrvAAhbBXZy4VsvFgJgBPd21s42iA9J1wMklGhYQQwkIWJ0O+vr7k5eUBUL9+fQ4ePAhAdnY2hYWFFRudEHZsxfZTGBR0Da1D8wBPW4fzx1yh8CHgG2zTUIQQoiqxeLZnt27d2Lx5M61bt+axxx5jzJgxbNmyhc2bN9OjR4/KiFEIu5NbVMraH84AdjIqlJYCJ5ONo0JdJ9g6GiGEqFIsTobefPNNioqKAPjnP/+Ji4sLO3bs4NFHH2Xq1KkVHqAQ9mjtD2coKNETWrcm3ULr2DqcP0aF2j4OvnYwkVsIIaoQi5OhWrVqmbadnJyYPFlWtxWO5arewMrtpwH4W5eQMu/VZ1VpO+DUVhkVEkKIcrJ4ztDQoUNZuXIlqamplRGPEHZv0+Fz/Jp9hVo1dDzctr6tw/njCrK2j4OPXNEphBCWsjgZ0ul0zJ49m9DQUIKCgnj88cd55513OH78eGXEJ4TdWbHNuMjikMiGuLlobRvM6W1w+ntwcoGucgWZEEKUh8XJ0DvvvMOxY8c4c+YM8+bNo2bNmixYsIB77rmHBg0aVEaMQtiNn89k82PaZVy0Gp64zw7m5iTPMf7Z7gnwsYNbgQghRBVU7jtK+vr6Urt2bXx9ffHx8cHZ2Rk/P7+KjE0Iu7Niu3FUqF+bQOp62XiRxetHhbqMt20sQghRhVmcDP3jH/8gKiqK2rVrM3nyZIqKipg8eTKZmZns27evMmIUwi5k5hTx5f4MAIZ3tvHqzkr9MVeo3VAZFRJCiLtg8dVkc+bMwc/PjxkzZvDII4/QrFmzyohLCLvz/s7TXDUoOgbXonUDG9+H79R3kLYdtDq5gkwIIe6SxcnQvn372Lp1K8nJySxYsACdTkd0dDTdu3ene/fukhyJaqmoVM9Hu9IBGN452LbBKPXHukLthoG3HVzRJoQQVZjFyVBYWBhhYWH83//9HwA///wzixYtYtSoURgMBvR6fYUHKYStbdj3K5cLS2ng607PVgG2DeZkMqSngNYVuspcISGEuFsWzxlSSrF3714WLlzIQw89RExMDB988AGtW7c2JUiWWrJkCcHBwbi5uREZGcnu3btvWnfVqlVoNBqzh5ub+URWpRTTp0+nXr16uLu7ExsbK5f+i3JTSpkmTg/rFIzWyYaLLF4/KtR+OHgF2i4WIYSoJsq1AnV+fj5hYWFER0czYsQIunbtio+PT7kC+Pjjjxk/fjzLli0jMjKSxYsXExcXx9GjR6lbt26Z7/Hy8uLo0aOm539eAXjevHm8/vrrrF69mpCQEKZNm0ZcXByHDx++IXES4nZ2pGZx7Fw+HjotAzvYeKLyiUQ4swuc3aDLONvGIoQQ1YTFydAHH3xA165d8fLyqpAAFi5cyIgRIxg+fDgAy5Yt48svv2TFihU3vdWHRqMhIKDsUxVKKRYvXszUqVPp378/AO+99x7+/v5s2LCBQYMGVUjcwnFcW2TxsYgGeLu72C4QpSDpX8btDk+Dp41P1wkhRDVh8Wmyvn37VlgiVFJSwp49e4iNjf0jICcnYmNjSUlJuen78vPzadSoEUFBQfTv359Dhw6ZXjt16hSZmZlm+/T29iYyMvKm+ywuLiY3N9fsIQTAqYsFbDl6HoBhUcG2DebYN/DbXnDxgM5jbBuLEEJUI+VedLEiXLx4Eb1ej7+/v1m5v78/mZmZZb6nefPmrFixgs8++4wPPvgAg8FAVFQUZ8+eBTC9z5J9zp49G29vb9MjKEjWbBFGq3ecRimIae5HY7+atgvk+lGhjiOgZtmnkIUQQljOpslQeXTq1ImhQ4cSHh5OdHQ069atw8/Pj7feeqvc+5wyZQo5OTmmx5kzZyowYlFV5VwpZe2Pxs/CU10a2zaYI/+DzP2gqwlRMiokhBAVyabJUJ06ddBqtZw7d86s/Ny5czedE/RnLi4utG3blhMnTgCY3mfJPl1dXfHy8jJ7CPHJj2coLNHTzL8mnZvWtl0gBv0fq03f9zzUsGEsQghRDdk0GdLpdERERJCYmGgqMxgMJCYm0qlTpzvah16v58CBA9SrVw+AkJAQAgICzPaZm5vLrl277nifQugNilU7TgPGW2/8+YpFqzq4Di4cATdv6DTKdnEIIUQ1ZfHVZBVt/PjxDBs2jPbt29OxY0cWL15MQUGB6eqyoUOHUr9+fWbPNq6t8tJLL3HffffRtGlTsrOzefXVV0lLS+Ppp58GjFeajR07lldeeYXQ0FDTpfWBgYEMGDDAZv0UVcvmw+c4e/kKvh4uPNzWhis8669C8u+jQlF/B/fyLWEhhBDi5myeDMXHx3PhwgWmT59OZmYm4eHhbNy40TQBOj09HSenPwawLl++zIgRI8jMzMTX15eIiAh27NhBy5YtTXUmTZpEQUEBzzzzDNnZ2XTp0oWNGzfKGkPijl27nH5wx4a4uWhtF8jPH8Glk+BRGyKfs10cQghRjWmUUsrWQdib3NxcvL29ycnJkflDDujA2Rz6vbkNZycN2168nwBvGyXRpUXwRgTknoWe/4Ko0baJQwghqojy/n5XuavJhKhs12698WCberZLhAD2rDQmQl71jYssCiGEqBSSDAlxnXO5RXyx/zcA/tYlxHaBFOfDd/ON29GTwEVO8QohRGWRZEiI67yfkkapXtEh2Jc2DWw4WXnnUii8CLUaQ/gQ28UhhBAOQJIhIX53pUTPh7vSAPhbZxuOChVkwfbXjNsx/wStDe+HJoQQDkCSISF+t27fWS4XlhJUy52erWx4E9TvF0BJHgS0gVaP2C4OIYRwEJIMCQEYDIp3vzdOnP5b5xC0TjZaZDE7HX5YbtyOnQlO8hUVQojKJv/SCgEkHT3PyYsFeLo581h7G96oN+nfoC+BkG7Q5H7bxSGEEA5EkiEhgHd+HxX6a8eG1HS10VqkmQfg5wTjduxMsOUtQIQQwoFIMiQc3sFfc0g5mYXWScPQqGDbBbJ5OqCM84TqR9guDiGEcDCSDAmH9/Z3JwHjIov1fdxtE8SJREjdAk4u0GO6bWIQQggHJcmQcGhnLxfy5YEMAEZ0bWybIAx62DzDuN1xBNSy4WX9QgjhgCQZEg5t5fbT6A2Kzk1rc299b9sE8dNHcO4AuHpDtxdsE4MQQjgwSYaEw8q5UkrC7nTAhqNCxfmw5WXjdvQL4FHLNnEIIYQDk2RIOKwPdqZRUKKnub8n0c38bBPE9sWQfw58Q6DjM7aJQQghHJwkQ8IhFZXqWbn9NADPRjdGY4vL2HPOwo43jNsPvATOrtaPQQghhCRDwjF9uvcsF/OLqe/jTr+wQNsEsXk6XC2ChlHQop9tYhBCCCHJkHA8eoMyXU7/VJcQXLQ2+Bqk7YCDnwIa6D1HFlgUQggbkmRIOJyvD2aQllWIj4cLgzra4NYbBj18Pcm4HTEM6oVZPwYhhBAmkgwJh6KU4j9JqQAM7RSMh84Gt97Yu9p46w1Xb7h/mvXbF0IIYUaSIeFQko9e4HBGLh46LcNtceuNgixIfMm4HTMFatSxfgxCCCHMSDIkHIZSijeTTgAwJLIhvjV01g8icRZcuQx1W0GHEdZvXwghxA0kGRIOY+fJS+xJu4zO2ck2iyye/RH2vmfc7jsftDY4RSeEEOIGkgwJh7Hk91Ghge0bUNfLzbqN66/Cl+MBBWGDoVGUddsXQghxU5IMCYewJ+0S205cxNlJw7Pdmlg/gN1vQ8bPxknTD7xk/faFEELclCRDwiEs/vY4AH+JaEBQLQ/rNp5zFra8Ytx+YBbUrGvd9oUQQtySJEOi2tubfpnvjxtHhUbFNLVu40rBVy9AaQEE3Qfthlm3fSGEELclyZCo9l77fVTokXb1rT8qdPgzOPoVOLlAv8XgJF85IYSwN/Ivs6jW9qRdZuuxC2idNIyOCbVu44WX4KuJxu0u46BuC+u2L4QQ4o5IMiSqtQWbjgLwWEQDGta28qjQxslQcAH87oFuE63bthBCiDsmyZCotnacuMiO1Cx0Wif+3sPKo0LHvoH9H4PGCfovAWdX67YvhBDijkkyJKolpRTzfx8V+mtkQ+r7uFuv8cJL8Pnfjdv3PQ8N2luvbSGEEBazi2RoyZIlBAcH4+bmRmRkJLt3775p3eXLl9O1a1d8fX3x9fUlNjb2hvpPPvkkGo3G7NGrV6/K7oawI1t+Oc/e9GzcXJx4PsbK6wp9OQHyz0Gd5nD/VOu2LYQQwmI2T4Y+/vhjxo8fz4wZM9i7dy9hYWHExcVx/vz5MusnJyczePBgkpKSSElJISgoiJ49e/Lrr7+a1evVqxcZGRmmx5o1a6zRHWEH9AbF3I2/ADAsKpi6nlZcbfrgp3BoHWi08PBScLHiiJQQQohysXkytHDhQkaMGMHw4cNp2bIly5Ytw8PDgxUrVpRZ/8MPP+T5558nPDyce+65h3feeQeDwUBiYqJZPVdXVwICAkwPX19fa3RH2IFP957l2Ll8vN1deD7aiusK5ZyFL8YZt7tOgPoR1mtbCCFEudk0GSopKWHPnj3ExsaaypycnIiNjSUlJeWO9lFYWEhpaSm1atUyK09OTqZu3bo0b96ckSNHkpWVddN9FBcXk5uba/YQVVNRqZ5Fm48BMCqmCd4eLtZp2KCHdc9CUQ4EtoPoSdZpVwghxF2zaTJ08eJF9Ho9/v7+ZuX+/v5kZmbe0T5efPFFAgMDzRKqXr168d5775GYmMjcuXPZunUrvXv3Rq/Xl7mP2bNn4+3tbXoEBQWVv1PCplZuP01GThH1fdwZ2inYeg1vXwxp28ClBjz6DmitlIQJIYS4a862DuBuzJkzh4SEBJKTk3Fz+2NeyKBBg0zbrVu3pk2bNjRp0oTk5GR69Ohxw36mTJnC+PHjTc9zc3MlIaqCLuQVm+5MP/6BZri5aK3TcPouSPq3cbvPq1DbBjeCFUIIUW42HRmqU6cOWq2Wc+fOmZWfO3eOgICAW753/vz5zJkzh02bNtGmTZtb1m3cuDF16tThxIkTZb7u6uqKl5eX2UNUPQs3HyW/+CptGnjzcNv61mm08BL8dzgYrsK9j0L4X63TrhBCiApj02RIp9MRERFhNvn52mToTp063fR98+bN4+WXX2bjxo20b3/7NVzOnj1LVlYW9erVq5C4hf059FsOCT+cAWD6gy1xctJUfqMGA6x/FnJ/hVpN4MHFoLFCu0IIISqUza8mGz9+PMuXL2f16tUcOXKEkSNHUlBQwPDhwwEYOnQoU6ZMMdWfO3cu06ZNY8WKFQQHB5OZmUlmZib5+fkA5Ofn88ILL7Bz505Onz5NYmIi/fv3p2nTpsTFxdmkj6JyKaV4+YvDKAUPtqlH++Bat39TRdi2AI5vAq0rDFwNbjKiKIQQVZHN5wzFx8dz4cIFpk+fTmZmJuHh4WzcuNE0qTo9PR2n6+70vXTpUkpKSvjLX/5itp8ZM2Ywc+ZMtFot+/fvZ/Xq1WRnZxMYGEjPnj15+eWXcXWVWyJUR5///Bs7T17C1dmJyb3vsU6jxzfDln8Zt/u8CgGtrdOuEEKICqdRSilbB2FvcnNz8fb2JicnR+YP2bm8olJ6LNjK+bxiJjzQzDr3ILt0Et7ubryMPuJJ6Pda5bcphBDitsr7+23z02RC3I3F3x7nfF4xwbU9eCa6ceU3WJQLawYbE6EGHaD3vMpvUwghRKWSZEhUWYd+y2HVjtMAzOp/L67OlXwpvf4q/PdvcOEX8KwHA9+Tu9ELIUQ1IMmQqJKu6g1M/vQAeoOiT+sAopv5VX6jm6bCic3g7A6DPgKvwMpvUwghRKWTZEhUSSu2n+LArzl4uTkz86FWld9gyhLYtdS4/fBSqN+u8tsUQghhFZIMiSonLauAhb/ff2xq35aVf1f6g+vgm38Yt2NnQauHK7c9IYQQViXJkKhS9AbFxE9+pqjUQFST2jzWvkHlNpiaZFxYEaDjM9B5TOW2J4QQwuokGRJVyjvfn+SH05epodMy99E2aCpzxeczuyFhCOhLoMVD0GuOrDAthBDVkCRDosr4JTOXBZuMp8em92tJUC2PymssYz98+BcoLYAm9xvvRO9kpRu/CiGEsCpJhkSVUFSqZ2zCT5ToDfS4py4D2wdVXmOZB+C9h4xrCQVFQvwHcgm9EEJUY5IMiSrhpS8O80tmHnVq6pj9aOvKOz2WsR9W94Mrl6F+BAz5BHQ1KqctIYQQdkGSIWH3vtyfwUe70gFYODC88q4eS98Fqx/8IxF6Yj24eVdOW0IIIeyGJEPCrqVeyGfyp/sBeL57E7pV1uKKqVvg/QG/nxq7TxIhIYRwIDa/a70QN5NXVMoz7/1IXvFVOgT7Mu6BZpXT0M8fw2ejwFBqnCwd/4GcGhNCCAciI0PCLhkMiglrfyb1QgEBXm78Z0gELtoK/rgqBd/Nh/XPGBOhVg/D4ARJhIQQwsHIyJCwS/M3HWXT4XPonJ1Y9kQEfp4VfDVXaRH8bwzsTzA+j/o/4+rSTvL/AyGEcDSSDAm7s2Z3Ov9JTgVg9sOtCQ/yqdgGcjPg4yHw6x7QaKH3XOg4omLbEEIIUWVIMiTsStLR80zdcBCAMT1CeTSigm+3cTIZPn0aCi6Amw8MXA2Nu1dsG0IIIaoUSYaE3dh1Movn3t+D3qB4pF19xsaGVtzODXr4fgEkzwZlAP97YeB7ULtJxbUhhBCiSpJkSNiFn89k89TqHym+auD+e+oy55EKvO/Y5TTjzVbTU4zP2z4OfeaDi3vF7F8IIUSVJsmQsLm96ZcZtmI3+cVX6dS4Nv8Z0g6dcwVMZFYK9qyCTdOgJA90ntB3PoQNuvt9CyGEqDYkGRI2tfNkFk+t+oGCEj3tG/myfFh73Fwq4IaoWanwxTg4tdX4PCgSHnkbfIPvft9CCCGqFUmGhM1sPJjBmISfKL5qoHPT2iwf2h4P3V1+JEuLYPtrxvlB+mJwdoce0yDyObnrvBBCiDJJMiSsTinFu9tO8a+vjqAUxLaoy5t/bXd3I0JKweENsHk6ZBvvY0bj7tB3oUySFkIIcUuSDAmrKirVM/2zg6z98SwAT9zXiBn9WuJ8N6tLn94GiS/BmV3G5571oOcrcO+jUFl3txdCCFFtSDIkrCY9q5CRH+7h0G+5OGlgSu8WPN01pPxXjaXtgK3z4GSS8bmzO3QeA53/T26pIYQQ4o5JMiQqnVKKT/acZdbnhygo0VOrho43Brelc9M6lu/MoIdj38CO1/+4VN7JGSKehK4TwatehcYuhBCi+pNkSFSqjJwrTP/sEJsPnwOgfSNfXhvclvo+Fq7xU3gJfk6A3W/D5VPGMq0OwodAl7FylZgQQohyk2RIVIqSqwbeSznNos3HKCjR46LVMO6BZjzbrQlapzs8LWbQw6nv4Oc1cPgzuFpkLHfzgYhhxivEvAIrrQ9CCCEcgyRDokIZDIovDmQw/5ujpF8qBCCikS//evhe7gnwupMdwNndcGiDMQHK++2P1wJaQ8Rw46KJMidICCFEBZFkSFSIUr2Bz3/6jWVbUzl+Ph+AOjVdmdizGQPbB+F0q9GgohzjCNCxb4yPgvN/vObmA63/AmF/hfrt5OowIYQQFU6SIXFXzl4uZO0PZ0j44Qzn84oB8HR1ZkS3xjzVJYQarmV8xIpy4OwPcHq78bL4X/eA0v/xuqsXNO8NLQdA0x7g7Gql3gghhHBEdpEMLVmyhFdffZXMzEzCwsJ444036Nix403rf/LJJ0ybNo3Tp08TGhrK3Llz6dOnj+l1pRQzZsxg+fLlZGdn07lzZ5YuXUpoaAXeBd2BpWcVkvjLOb7cn8GPaZdN5XVquvK3LsE8fl8jvNxcjIVXLsP5I5CxHzJ+ht/2woWjgDLfae2m0KSHMQlq1BmcddbrkBBCCIdm82To448/Zvz48SxbtozIyEgWL15MXFwcR48epW7dujfU37FjB4MHD2b27Nk8+OCDfPTRRwwYMIC9e/dy7733AjBv3jxef/11Vq9eTUhICNOmTSMuLo7Dhw/j5uZm7S5WaXqDIi2rgJ/PZvPD6cvsTM3i5MUC0+sajaJnI2eGtNDSqXYhLrlfw7cn4eJx4yM/s+wd+wZDwygI7gIhXcGnoXU6JIQQQvyJRimlbl+t8kRGRtKhQwfefPNNAAwGA0FBQfz9739n8uTJN9SPj4+noKCAL774wlR23333ER4ezrJly1BKERgYyIQJE5g4cSIAOTk5+Pv7s2rVKgYNuv0dy3Nzc/H29iYnJwcvrzuY9HuHcrOzKMi5WGH7uxtKGf+ur+r1FJdcpbCoiILCK+Tk55OTl8+lnFxyc3PIyclGpy/Ai0K8NQX4kE8tpzwauhZST5tDzdIsNPqSWzfm3RD8W0K9cAgMh/rtoaafdToqhBDCYZT399umI0MlJSXs2bOHKVOmmMqcnJyIjY0lJSWlzPekpKQwfvx4s7K4uDg2bNgAwKlTp8jMzCQ2Ntb0ure3N5GRkaSkpJSZDBUXF1NcXGx6npube1f9uplDny2k06k3K2Xflcbp98eflf7+uKamP3g3MI74+AYbT3vVDgW/5uBWcQmlEEIIUdFsmgxdvHgRvV6Pv7+/Wbm/vz+//PJLme/JzMwss35mZqbp9WtlN6vzZ7Nnz2bWrFnl6oMlNFpnipRLpbdzpww4gQYMaNFrtBg0zhicXFBaV3DxQOvqgauHF+41fdC4eRqv7HL3hRp1wKO2MQGq6Q+eATLJWQghRJVl8zlDigTBrgAAFpdJREFU9mDKlClmo025ubkEBQVVeDv3PT4LqPykSwghhBB37i5uFX736tSpg1ar5dy5c2bl586dIyAgoMz3BAQE3LL+tT8t2aerqyteXl5mDyGEEEI4BpsmQzqdjoiICBITE01lBoOBxMREOnXqVOZ7OnXqZFYfYPPmzab6ISEhBAQEmNXJzc1l165dN92nEEIIIRyXzU+TjR8/nmHDhtG+fXs6duzI4sWLKSgoYPjw4QAMHTqU+vXrM3v2bADGjBlDdHQ0CxYsoG/fviQkJPDjjz/y9ttvA6DRaBg7diyvvPIKoaGhpkvrAwMDGTBggM36KYQQQgj7ZPNkKD4+ngsXLjB9+nQyMzMJDw9n48aNpgnQ6enpODn9MYAVFRXFRx99xNSpU/nHP/5BaGgoGzZsMK0xBDBp0iQKCgp45plnyM7OpkuXLmzcuFHWGBJCCCHEDWy+zpA9qqx1hoQQQghRecr7+23TOUNCCCGEELYmyZAQQgghHJokQ0IIIYRwaJIMCSGEEMKhSTIkhBBCCIcmyZAQQgghHJokQ0IIIYRwaJIMCSGEEMKhSTIkhBBCCIdm89tx2KNri3Ln5ubaOBIhhBBC3Klrv9uW3lxDkqEy5OXlARAUFGTjSIQQQghhqby8PLy9ve+4vtybrAwGg4HffvsNT09PNBpNhe47NzeXoKAgzpw5Uy3veyb9q/qqex+lf1Vfde+j9K/8lFLk5eURGBhodpP325GRoTI4OTnRoEGDSm3Dy8urWn7Ir5H+VX3VvY/Sv6qvuvdR+lc+lowIXSMTqIUQQgjh0CQZEkIIIYRD086cOXOmrYNwNFqtlu7du+PsXD3PUkr/qr7q3kfpX9VX3fso/bMumUAthBBCCIcmp8mEEEII4dAkGRJCCCGEQ5NkSAghhBAOTZIhIYQQQjg0SYbu0pIlSwgODsbNzY3IyEh27959y/qffPIJ99xzD25ubrRu3ZqvvvrK7HWlFNOnT6devXq4u7sTGxvL8ePHK7MLt2RJ/5YvX07Xrl3x9fXF19eX2NjYG+o/+eSTaDQas0evXr0quxu3ZEkfV61adUP8bm5uZnWq8jHs3r37Df3TaDT07dvXVMeejuF3331Hv379CAwMRKPRsGHDhtu+Jzk5mXbt2uHq6krTpk1ZtWrVDXUs/V5XJkv7uG7dOh544AH8/Pzw8vKiU6dOfPPNN2Z1Zs6cecMxvOeeeyqzGzdlaf+Sk5PL/IxmZmaa1bOXY2hp/8r6fmk0Glq1amWqY0/Hb/bs2XTo0AFPT0/q1q3LgAEDOHr06G3fZ2+/hZIM3YWPP/6Y8ePHM2PGDPbu3UtYWBhxcXGcP3++zPo7duxg8ODBPPXUU+zbt48BAwYwYMAADh48aKozb948Xn/9dZYtW8auXbuoUaMGcXFxFBUVWatbJpb2Lzk5mcGDB5OUlERKSgpBQUH07NmTX3/91axer169yMjIMD3WrFljje6UydI+gnHV1OvjT0tLM3u9Kh/DdevWmfXt4MGDaLVaHnvsMbN69nIMCwoKCAsLY8mSJXdU/9SpU/Tt25eYmBh++uknxo4dy9NPP22WLJTnM1GZLO3jd999xwMPPMBXX33Fnj17iImJoV+/fuzbt8+sXqtWrcyO4bZt2yoj/NuytH/XHD161Cz+unXrml6zp2Noaf9ee+01s36dOXOGWrVq3fAdtJfjt3XrVkaNGsXOnTvZvHkzpaWl9OzZk4KCgpu+xy5/C5Uot44dO6pRo0aZnuv1ehUYGKhmz55dZv2BAweqvn37mpVFRkaqZ599VimllMFgUAEBAerVV181vZ6dna1cXV3VmjVrKqEHt2Zp//7s6tWrytPTU61evdpUNmzYMNW/f/8Kj7W8LO3jypUrlbe39033V92O4aJFi5Snp6fKz883ldnbMbwGUOvXr79lnUmTJqlWrVqZlcXHx6u4uDjT87v9O6tMd9LHsrRs2VLNmjXL9HzGjBkqLCysIkOrEHfSv6SkJAWoy5cv37SOvR7D8hy/9evXK41Go06fPm0qs9fjp5RS58+fV4DaunXrTevY42+hjAyVU0lJCXv27CE2NtZU5uTkRGxsLCkpKWW+JyUlxaw+QFxcnKn+qVOnyMzMNKvj7e1NZGTkTfdZWcrTvz8rLCyktLSUWrVqmZUnJydTt25dmjdvzsiRI8nKyqrQ2O9UefuYn59Po0aNCAoKon///hw6dMj0WnU7hu+++y6DBg2iRo0aZuX2cgwtdbvvYEX8ndkbg8FAXl7eDd/D48ePExgYSOPGjRkyZAjp6ek2irB8wsPDqVevHg888ADbt283lVe3Y/juu+8SGxtLo0aNzMrt9fjl5OQA3PB5u549/hZKMlROFy9eRK/X4+/vb1bu7+9/w7nrazIzM29Z/9qfluyzspSnf3/24osvEhgYaPaB7tWrF++99x6JiYnMnTuXrVu30rt3b/R6fYXGfyfK08fmzZuzYsUKPvvsMz744AMMBgNRUVGcPXsWqF7HcPfu3Rw8eJCnn37arNyejqGlbvYdzM3N5cqVKxXyubc38+fPJz8/n4EDB5rKIiMjWbVqFRs3bmTp0qWcOnWKrl27kpeXZ8NI70y9evVYtmwZn376KZ9++ilBQUF0796dvXv3AhXzb5e9+O233/j6669v+A7a6/EzGAyMHTuWzp07c++99960nj3+FtrHOtii2pkzZw4JCQkkJyebTTAeNGiQabt169a0adOGJk2akJycTI8ePWwRqkU6depEp06dTM+joqJo0aIFb731Fi+//LINI6t47777Lq1bt6Zjx45m5VX9GDqSjz76iFmzZvHZZ5+Zzanp3bu3abtNmzZERkbSqFEj1q5dy1NPPWWLUO9Y8+bNad68uel5VFQUqampLFq0iPfff9+GkVW81atX4+Pjw4ABA8zK7fX4jRo1ioMHD9ps/tLdkJGhcqpTpw5arZZz586ZlZ87d46AgIAy3xMQEHDL+tf+tGSflaU8/btm/vz5zJkzh02bNtGmTZtb1m3cuDF16tThxIkTdx2zpe6mj9e4uLjQtm1bU/zV5RgWFBSQkJBwR/+w2vIYWupm30EvLy/c3d0r5DNhLxISEnj66adZu3btDack/szHx4dmzZpViWNYlo4dO5piry7HUCnFihUreOKJJ9DpdLesaw/Hb/To0XzxxRckJSXRoEGDW9a1x99CSYbKSafTERERQWJioqnMYDCQmJhoNnJwvU6dOpnVB9i8ebOpfkhICAEBAWZ1cnNz2bVr1033WVnK0z8wXgHw8ssvs3HjRtq3b3/bds6ePUtWVhb16tWrkLgtUd4+Xk+v13PgwAFT/NXhGILxstfi4mIef/zx27Zjy2Noqdt9ByviM2EP1qxZw/Dhw1mzZo3Zsgg3k5+fT2pqapU4hmX56aefTLFXl2O4detWTpw4cUf/IbHl8VNKMXr0aNavX8+WLVsICQm57Xvs8rewUqZlO4iEhATl6uqqVq1apQ4fPqyeeeYZ5ePjozIzM5VSSj3xxBNq8uTJpvrbt29Xzs7Oav78+erIkSNqxowZysXFRR04cMBUZ86cOcrHx0d99tlnav/+/ap///4qJCREXblyxe77N2fOHKXT6dR///tflZGRYXrk5eUppZTKy8tTEydOVCkpKerUqVPq22+/Ve3atVOhoaGqqKjI6v0rTx9nzZqlvvnmG5Wamqr27NmjBg0apNzc3NShQ4dMdaryMbymS5cuKj4+/oZyezuGeXl5at++fWrfvn0KUAsXLlT79u1TaWlpSimlJk+erJ544glT/ZMnTyoPDw/1wgsvqCNHjqglS5YorVarNm7caKpzu78za7O0jx9++KFydnZWS5YsMfseZmdnm+pMmDBBJScnq1OnTqnt27er2NhYVadOHXX+/Hm779+iRYvUhg0b1PHjx9WBAwfUmDFjlJOTk/r2229NdezpGFrav2sef/xxFRkZWeY+7en4jRw5Unl7e6vk5GSzz1thYaGpTlX4LZRk6C698cYbqmHDhkqn06mOHTuqnTt3ml6Ljo5Ww4YNM6u/du1a1axZM6XT6VSrVq3Ul19+afa6wWBQ06ZNU/7+/srV1VX16NFDHT161BpdKZMl/WvUqJECbnjMmDFDKaVUYWGh6tmzp/Lz81MuLi6qUaNGasSIETb7kbnGkj6OHTvWVNff31/16dNH7d2712x/VfkYKqXUL7/8ogC1adOmG/Zlb8fw2mXWf35c69OwYcNUdHT0De8JDw9XOp1ONW7cWK1cufKG/d7q78zaLO1jdHT0LesrZVxOoF69ekqn06n69eur+Ph4deLECet27HeW9m/u3LmqSZMmys3NTdWqVUt1795dbdmy5Yb92ssxLM9nNDs7W7m7u6u33367zH3a0/Erq2+A2feqKvwWan7vjBBCCCGEQ5I5Q0IIIYRwaJIMCSGEEMKhSTIkhBBCCIcmyZAQQgghHJokQ0IIIYRwaJIMCSGEEMKhSTIkhBBCCIcmyZAQQgghHJokQ0IIUclWrVqFj49PpbcTHByMRqNBo9GQnZ19y3iu1Rs7dmylxyWEvZNkSIhqbtmyZXh6enL16lVTWX5+Pi4uLnTv3t2sbnJyMhqNhtTU1Dvat7V+5Mtr5syZhIeHW7XN4OBgFi9ebFYWHx/PsWPHrNL+Sy+9REZGBt7e3jetEx8fT0ZGRpW6cakQlUmSISGquZiYGPLz8/nxxx9NZd9//z0BAQHs2rWLoqIiU3lSUhINGzakSZMmVo1Rr9djMBis2qYllFJmyaSl3N3dqVu3bgVGdHOenp4EBASg0WhuGU9AQAA6nc4qMQlh7yQZEqKaa968OfXq1SM5OdlUlpycTP/+/QkJCWHnzp1m5TExMabnCxcupHXr1tSoUYOgoCCef/558vPzTXWHDx9OTk6O6ZTLzJkzASguLmbixInUr1+fGjVqEBkZadb+tRGlzz//nJYtW+Lq6kp6evoNsV++fJkhQ4bg5+eHu7s7oaGhrFy50vT6iy++SLNmzfDw8KBx48ZMmzaN0tJSUxuzZs3i559/NsW3atUqTp8+jUaj4aeffjLtJzs7G41GY4rx2gjZ119/TUREBK6urmzbto3U1FT69++Pv78/NWvWpEOHDnz77bem/XTv3p20tDTGjRtnavP6/l5v6dKlNGnSBJ1OR/PmzXn//ffNXtdoNLzzzjs8/PDDeHh4EBoayueff37T4yyEKD9JhoRwADExMSQlJZmeJyUl0b17d6Kjo03lV65cYdeuXWbJkJOTE6+//jqHDh1i9erVbNmyhUmTJgEQFRXF4sWL8fLyIiMjg4yMDCZOnAjA6NGjSUlJISEhgf379/PYY4/Rq1cvjh8/btp3YWEhc+fO5Z133uHQoUNljpxMmzaNw4cP8/XXX3PkyBGWLl1KnTp1TK97enqyatUqDh8+zGuvvcby5ctZtGgRYDwVNGHCBFq1amWKLz4+3qK/t8mTJzNnzhyOHDlCmzZtyM/Pp0+fPiQmJrJv3z569epFv379TIncunXraNCggelUVUZGRpn7Xb9+PWPGjGHChAkcPHiQZ599luHDh5sdI4BZs2YxcOBA9u/fT58+fRgyZAiXLl2yqA9CiDtw9ze+F0LYu+XLl6saNWqo0tJSlZubq5ydndX58+fVRx99pLp166aUUioxMVEBKi0t7ab7+eSTT1Tt2rVNz1euXKm8vb3N6qSlpSmtVqt+/fVXs/IePXqoKVOmmN4HqJ9++umWcffr108NHz78jvv56quvqoiICNPzGTNmqLCwMLM6p06dUoDat2+fqezy5csKUElJSUoppZKSkhSgNmzYcNs2W7Vqpd544w3T80aNGqlFixaZ1fnz31NUVJQaMWKEWZ3HHntM9enTx/QcUFOnTjU9z8/PV4D6+uuvbxpLWW3fSnR0tBozZswd1xeiupKRISEcQPfu3SkoKOCHH37g+++/p1mzZvj5+REdHW2aN5ScnEzjxo1p2LCh6X3ffvstPXr0oH79+nh6evLEE0+QlZVFYWHhTds6cOAAer2eZs2aUbNmTdNj69atZhOzdTodbdq0uWXcI0eOJCEhgfDwcCZNmsSOHTvMXv/444/p3LkzAQEB1KxZk6lTp5Z5uq282rdvb/Y8Pz+fiRMn0qJFC3x8fKhZsyZHjhyxuM0jR47QuXNns7LOnTtz5MgRs7Lr/35q1KiBl5cX58+ft6it64/Bc889Z9F7hXAUzrYOQAhR+Zo2bUqDBg1ISkri8uXLREdHAxAYGEhQUBA7duwgKSmJ+++/3/Se06dP8+CDDzJy5Ej+9a9/UatWLbZt28ZTTz1FSUkJHh4eZbaVn5+PVqtlz549aLVas9dq1qxp2nZ3d7/lJF+A3r17k5aWxldffcXmzZvp0aMHo0aNYv78+aSkpDBkyBBmzZpFXFwc3t7eJCQksGDBglvu08nJ+H9ApZSp7No8oz+rUaOG2fOJEyeyefNm5s+fT9OmTXF3d+cvf/kLJSUlt2yzvFxcXMyeazQaiyeaXz83ysvLq0LiEqK6kWRICAcRExNDcnIyly9f5oUXXjCVd+vWja+//prdu3czcuRIU/mePXswGAwsWLDAlECsXbvWbJ86nQ69Xm9W1rZtW/R6PefPn6dr1653Hbefnx/Dhg1j2LBhdO3alRdeeIH58+ezY8cOGjVqxD//+U9T3bS0tNvG5+fnB0BGRgZt27YFzBOGW9m+fTtPPvkkDz/8MGBM/E6fPn3bNv+sRYsWbN++nWHDhpntu2XLlncUhyWaNm1a4fsUorqRZEgIBxETE8OoUaMoLS01jQwBREdHM3r0aEpKSswmTzdt2pTS0lLeeOMN+vXrx/bt21m2bJnZPoODg8nPzycxMZGwsDA8PDxo1qwZQ4YMYejQoSxYsIC2bdty4cIFEhMTadOmDX379r3jmKdPn05ERAStWrWiuLiYL774ghYtWgAQGhpKeno6CQkJdOjQgS+//JL169ffEN+pU6f46aefaNCgAZ6enri7u3PfffcxZ84cQkJCOH/+PFOnTr2jeEJDQ1m3bh39+vVDo9Ewbdq0G0ZqgoOD+e677xg0aBCurq5mE76veeGFFxg4cCBt27YlNjaW//3vf6xbt87syjQhhPXInCEhHERMTAxXrlyhadOm+Pv7m8qjo6PJy8szXYJ/TVhYGAsXLmTu3Lnce++9fPjhh8yePdtsn1FRUTz33HPEx8fj5+fHvHnzAFi5ciVDhw5lwoQJNG/enAEDBvDDDz+YzUe6EzqdjilTptCmTRu6deuGVqslISEBgIceeohx48YxevRowsPD2bFjB9OmTTN7/6OPPkqvXr2IiYnBz8+PNWvWALBixQquXr1KREQEY8eO5ZVXXrmjeBYuXIivry9RUVH069ePuLg42rVrZ1bnpZde4vTp0zRp0sQ0CvVnAwYM4LXXXmP+/Pm0atWKt956i5UrV96wCKYQwjo06voT50IIIaqs4OBgxo4de8e32OjevTvh4eE3rJgthKORkSEhhKhGXnzxRWrWrElOTs5N63z44YfUrFmT77//3oqRCWG/ZGRICCGqibS0NNOVcY0bNzZNfP+zvLw8zp07B4CPj0+Z85qEcCSSDAkhhBDCoclpMiGEEEI4NEmGhBBCCOHQJBkSQgghhEOTZEgIIYQQDk2SISGEEEI4NEmGhBBCCOHQJBkSQgghhEOTZEgIIYQQDu3/Aeayn83dcckJAAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TycnJncaTk5O1ffv2Lp/z5Zdf6o033tAtt9yiV155Rbt27dLtt9+utrY2LV68uMvnFBYW6r777vN5/cCpwDAMrf+qVs+uL9ErWys8t6ZCgiy6bFyyrssaqgtOS+Q8KQABy/TJyN5wuVxKSkrS73//ewUFBSkrK0v79+/XQw89dNygs3DhQhUUFHi+ttvtSk9P91fJgCnqm9v0z0379Nf/7O10BMPYlGjNmJyu6ZlpiufoBQADgGlBJyEhQUFBQaqsrOw0XllZqZSUlC6fM2TIEIWEhHS6TXXGGWeooqJCra2tCg099j/cNptNNhurRDAwbCur158+2KsXP96vlraO7k1EaJCmZabqxsnDNHFoLLemAAwopgWd0NBQZWVlqbi4WNOnT5fU0bEpLi7W3Llzu3zOueeeq2eeeUYul0tWa0erfefOnRoyZEiXIQcYCNqcLq3ZVqGn39+jDXsPesbHpkTrlm8M1/TMVEWHcQQDgIHJ1FtXBQUFmjlzprKzszVlyhQVFRWpqalJs2bNkiTl5+crLS1NhYWFkqQf/vCHWrp0qebNm6c777xTX3zxhX75y1/qrrvuMvPHAExR39ymZz8q0R8/2KPy+hZJUrDVom+eOUT5ucOVPTye7g2AAc/UoDNjxgxVV1dr0aJFqqioUGZmplavXu2ZoFxSUuLp3EhSenq61qxZo/nz52vixIlKS0vTvHnzdM8995j1IwB+V1rbrCff+0p/21Cq5lanJCkhKlQ35wzXLTnDlBzDnjcA4GbqPjpmYB8dnKq27q/X8rd365VPy+U6/G/t2JRozT5vhK7JTJUtuOstFgAgEJxy++gA6J7/fHlAS9/cpXe/qPGMnX9agn5wwSidO3owt6cA4AQIOkA/ZBiG3v2iRo+98YU+2tMxwdhqkf7fxFTdduEojUulGwkA3UHQAfoRwzD0zhc1Knp9pzaXdJwaHhpk1XXZQ3XbBaM0bDDHMgCANwg6QD/xwe4aPfLaTm08vETcFmzVzTnD9IMLRikllgnGANATBB3AZJtKDurhNTv0we4DkjoCzq3fGK4fXDiSU8MBoJcIOoBJdlU16qE127VmW8fu4CFBFt08ZZhuv3g0S8QBwEcIOoCfVTW0qOj1L7Tqo1I5XYasFunbZw/VvLzTNDSeOTgA4EsEHcBPWtqc+r93v9Tjb+1W0+GN/vLOSNY9V4zRacnRJlcHAIGJoAP0McMw9PIn5Xrg1e3aX3dIkjQpPU73XnmGpowYZHJ1ABDYCDpAH/q83K7FL23T+q9qJUmpsWG655tjdfXEVFmtbPQHAH2NoAP0AXtLm369dqf+tG6vnC5DYSFW3XbhKP3gglEKD+WoBgDwF4IO4EOGYehfn5Tr/pc/U3WDQ5J05Zkp+u8rz2CiMQCYgKAD+EhpbbPufWGr3tlZLUkamRCp+6aN1/mnJZpcGQAMXAQdoJecLkNPvf+VHnltpw61ORUabNXci0frBxeO5ERxADAZQQfohS8qG/STf3yiLaUd51J9Y+Qg/fLaMzUyMcrkygAAEkEH6BGny9Dv3/lSv167U61Ol6LDgnXvlWdoxuR0WSyspgKA/oKgA3hpT02TCv62RZsOny5+8ZhE/fJbZ2pIbLjJlQEAvo6gA3STYRh6dn2p7n/5Mx1qcyraFqyfXT1O12cNpYsDAP0UQQfohtqmVi345yd67bOOAzhzRw7WwzdMUlocXRwA6M8IOsBJfPjlAc1buVmVdodCg6z6ydQxmn3eCHY2BoBTAEEHOA6ny9DSN3bpN8U75TKkkYmReuymszQ+Ndbs0gAA3UTQAbpQ0+jQ3Su36L1dNZKk67KG6ufTxisilH9lAOBUwn+1ga/ZuPegbv/rRlXaHQoPCdIvpk/Qt7OGml0WAKAHCDrAYYZh6C//KdHP/7VNbU5DoxIjtfzWLJ2WHG12aQCAHiLoAJIc7U4tfnGbVn5UKqnjIM5fXTdJUTb+FQGAUxn/FceAV9Po0A/+vFEb9x6U1SL99Iqx+sEFI9kbBwACAEEHA9rn5Xb91x83aH/dIUWHBeuxm87SRWOSzC4LAOAjBB0MWG/uqNLcv25SU6tTIxIi9X8zszWKwzgBIKAQdDAgPfOfEv3sxa1yugzljhysx289W3ERoWaXBQDwMYIOBhTDMPTIazu19M1dkjr2x/nltWcqNNhqcmUAgL5A0MGA0e506b+f/1R/27BPkjTv0tN0d95pTDoGgABG0MGA0NLm1J3PbtbazypltUj/e+2ZumnKMLPLAgD0MYIOAl6jo11z/rhB6748oNBgqx676SxNHZ9idlkAAD8g6CCg1R9q08wV67WltE5RtmD9IT9buaMGm10WAMBPCDoIWAebWnXrk//RtjK74iJC9MdZUzQpPc7ssgAAfkTQQUCqbWrVLf/3H31ebtfgyFD95b9ydMaQGLPLAgD4GUEHAafd6dLZ96+VJCVE2fTsnBwO5gSAAYqgg4Dz3q4az+crv/8NjU5it2MAGKj6xS5py5YtU0ZGhsLCwpSTk6P169cf99qnn35aFoul0yMsLMyP1aK/qz/UJkkaNySGkAMAA5zpQWfVqlUqKCjQ4sWLtWnTJk2aNElTp05VVVXVcZ8TExOj8vJyz2Pv3r1+rBj9XXl9iyRpTAq3qwBgoDM96Dz66KOaM2eOZs2apXHjxmn58uWKiIjQihUrjvsci8WilJQUzyM5OdmPFaO/K687JEkaEkunDwAGOlODTmtrqzZu3Ki8vDzPmNVqVV5entatW3fc5zU2Nmr48OFKT0/XtGnTtG3btuNe63A4ZLfbOz0Q2MoOd3SGxIWbXAkAwGymBp2amho5nc5jOjLJycmqqKjo8jljxozRihUr9OKLL+ovf/mLXC6XzjnnHO3bt6/L6wsLCxUbG+t5pKen+/znQP9SXn+4oxNDRwcABjrTb115Kzc3V/n5+crMzNSFF16o5557TomJiXriiSe6vH7hwoWqr6/3PEpLS/1cMfytvM7d0SHoAMBAZ+ry8oSEBAUFBamysrLTeGVlpVJSuncWUUhIiM466yzt2rWry+/bbDbZbLZe14pTQ0ubUweaWiVJqbHcugKAgc7Ujk5oaKiysrJUXFzsGXO5XCouLlZubm63XsPpdOrTTz/VkCFD+qpMnEIqDs/PCQuxKi4ixORqAABmM33DwIKCAs2cOVPZ2dmaMmWKioqK1NTUpFmzZkmS8vPzlZaWpsLCQknSz3/+c33jG9/Q6NGjVVdXp4ceekh79+7Vf/3Xf5n5Y6CfcC8tT40Nl8ViMbkaAIDZTA86M2bMUHV1tRYtWqSKigplZmZq9erVngnKJSUlslqPNJ4OHjyoOXPmqKKiQvHx8crKytIHH3ygcePGmfUjoB/xTERmfg4AQJLFMAzD7CL8yW63KzY2VvX19YqJ4ZDHQLPszV16aM0OXZc1VA9fP8nscgAAPtLTv9+n3Kor4ETK2CwQAHAUgg4CinuOzhBWXAEARNBBgPF0dJijAwAQQQcB5uhVVwAAEHQQMJpb21V/qE0SHR0AQAeCDgKGu5sTZQtWTBibBQIACDoIIJ4zrlhxBQA4jKCDgFHm2SyQ+TkAgA4EHQQMT0cnho4OAKADQQcBg+MfAABfR9BBwChjaTkA4GsIOggY5WwWCAD4GoIOAkYFxz8AAL6GoIOA0NDSpgZHuyQplY4OAOAwr4JOe3u7/vSnP6mysrKv6gF6xL1ZYGx4iCJCg02uBgDQX3gVdIKDg3XbbbeppaWlr+oBesRzmCebBQIAjuL1raspU6Zoy5YtfVEL0GPl9eyKDAA4ltc9/ttvv10FBQUqLS1VVlaWIiMjO31/4sSJPisO6K4jK66YiAwAOMLroHPjjTdKku666y7PmMVikWEYslgscjqdvqsO6KYje+jQ0QEAHOF10Pnqq6/6og6gVzy7IrO0HABwFK+DzvDhw/uiDqBXPHN0WFoOADhKj9bh7t69W0VFRfr8888lSePGjdO8efM0atQonxYHdIdhGJ4DPTn+AQBwNK9XXa1Zs0bjxo3T+vXrNXHiRE2cOFH/+c9/NH78eK1du7YvagROqP5Qmw61dcwNS2GODgDgKF53dBYsWKD58+frgQceOGb8nnvu0WWXXeaz4oDuKDvczRkcGaqwkCCTqwEA9Cded3Q+//xzzZ49+5jx733ve/rss898UhTgDfdEZLo5AICv8zroJCYmdrlh4JYtW5SUlOSTogBvlHGYJwDgOLy+dTVnzhx9//vf15dffqlzzjlHkvT+++/rwQcfVEFBgc8LBE7GvVkgh3kCAL7O66Dzs5/9TNHR0XrkkUe0cOFCSVJqaqqWLFnSaRNBwF/K6egAAI7D66BjsVg0f/58zZ8/Xw0NDZKk6OhonxcGdJd7jg4dHQDA13k9R+eSSy5RXV2dpI6A4w45drtdl1xyiW+rA7qBjg4A4Hi8DjpvvfWWWltbjxlvaWnRu+++65OigO4yDIOTywEAx9XtW1effPKJ5/PPPvtMFRUVnq+dTqdWr16ttLQ031YHnMSBpla1trtksUjJMQQdAEBn3Q46mZmZslgsslgsXd6iCg8P12OPPebT4oCTcR/9kBBlU2iw1w1KAECA63bQ+eqrr2QYhkaOHKn169crMTHR873Q0FAlJSUpKIhdaeFfZe6JyNy2AgB0odtBx31qucvl6rNiAG+599BhIjIAoCte9/oLCwu1YsWKY8ZXrFihBx980CdFAd3lmYjM0nIAQBe8DjpPPPGExo4de8z4+PHjtXz5cp8UBXSXO+ik0tEBAHTB66BTUVGhIUOGHDOemJio8vJynxQFdJd7s0A6OgCArngddNLT0/X+++8fM/7+++8rNTW1R0UsW7ZMGRkZCgsLU05OjtavX9+t561cuVIWi0XTp0/v0fvi1FdWx2aBAIDj69Ghnnfffbfa2to8y8yLi4v105/+VD/60Y+8LmDVqlUqKCjQ8uXLlZOTo6KiIk2dOlU7duw44Wnoe/bs0Y9//GOdf/75Xr8nAoPTZajSfvjWFR0dAEAXvA46P/nJT3TgwAHdfvvtnh2Sw8LCdM8993gO+fTGo48+qjlz5mjWrFmSpOXLl+vf//63VqxYoQULFnT5HKfTqVtuuUX33Xef3n33Xc+RFBhYahodancZslqkxCib2eUAAPohr29dWSwWPfjgg6qurtaHH36ojz/+WLW1tVq0aJHXb97a2qqNGzcqLy/vSEFWq/Ly8rRu3brjPu/nP/+5kpKSNHv27JO+h8PhkN1u7/RAYCg7vLQ8OSZMwUFsFggAOJbXHR23qKgoTZ48uVdvXlNTI6fTqeTk5E7jycnJ2r59e5fPee+99/Tkk09qy5Yt3XqPwsJC3Xfffb2qE/0TZ1wBAE6mR0Fnw4YN+tvf/qaSkpJjDvh87rnnfFJYVxoaGvSd73xHf/jDH5SQkNCt5yxcuFAFBQWer+12u9LT0/uqRPiRu6MzJI6JyACArnkddFauXKn8/HxNnTpVr732mi6//HLt3LlTlZWVuvbaa716rYSEBAUFBamysrLTeGVlpVJSUo65fvfu3dqzZ4+uvvpqz5h7p+bg4GDt2LFDo0aN6vQcm80mm435G4GowrOHDh0dAEDXvJ7Y8Mtf/lK//vWv9a9//UuhoaH6zW9+o+3bt+uGG27QsGHDvHqt0NBQZWVlqbi42DPmcrlUXFys3NzcY64fO3asPv30U23ZssXzuOaaa3TxxRdry5YtdGoGmCO3rujoAAC65nVHZ/fu3brqqqskdQSVpqYmWSwWzZ8/X5dcconX82EKCgo0c+ZMZWdna8qUKSoqKlJTU5NnFVZ+fr7S0tJUWFiosLAwTZgwodPz4+LiJOmYcQQ+z4GeLC0HAByH10EnPj5eDQ0NkqS0tDRt3bpVZ555purq6tTc3Ox1ATNmzFB1dbUWLVqkiooKZWZmavXq1Z4JyiUlJbJaWVGDY5WzWSAA4CS8DjoXXHCB1q5dqzPPPFPXX3+95s2bpzfeeENr167VpZde2qMi5s6dq7lz53b5vbfeeuuEz3366ad79J44tbU7XapqYNUVAODEvA46S5cuVUtLxx+Ye++9VyEhIfrggw/07W9/W//zP//j8wKBrlQ2OOQypJDU2WBkAAAgAElEQVQgixLYLBAAcBzdCjoFBQW6//77FRkZqa1bt+qcc86R1LG53/F2Lwb6UvlRmwVarRaTqwEA9Ffdmvzy2GOPqbGxUZJ08cUXq7a2tk+LAk6m3LO0nPk5AIDj61ZHJyMjQ7/97W91+eWXyzAMrVu3TvHx8V1ee8EFF/i0QKAr5fXuzQKZnwMAOL5uBZ2HHnpIt912mwoLC2WxWI67MaDFYpHT6fRpgUBXylhxBQDohm4FnenTp2v69OlqbGxUTEyMduzYoaSkpL6uDTiucvbQAQB0g1errqKiovTmm29qxIgRCg7u8XmgQK+55+ikxBB0AADH53VaufDCC/uiDsAr7ltXqRzoCQA4AbYcxinH0e5UTaNDEpsFAgBOjKCDU05lfUfIsQVbNSgy1ORqAAD9GUEHpxzP0vLYMFksbBYIADg+r4POU0891aPDOwFfcU9EZmk5AOBkvA46CxYsUEpKimbPnq0PPvigL2oCTqiMzQIBAN3kddDZv3+//vjHP6qmpkYXXXSRxo4dqwcffFAVFRV9UR9wjPI6jn8AAHSP10EnODhY1157rV588UWVlpZqzpw5+utf/6phw4bpmmuu0YsvviiXy9UXtQKSjszRSWHFFQDgJHo1GTk5OVnnnXeecnNzZbVa9emnn2rmzJkaNWqU3nrrLR+VCHR2ZA8dgg4A4MR6FHQqKyv18MMPa/z48broootkt9v18ssv66uvvtL+/ft1ww03aObMmb6uFZB09Korbl0BAE7M66Bz9dVXKz09XU8//bTmzJmj/fv369lnn1VeXp4kKTIyUj/60Y9UWlrq82KBQ61OHWxuk8QcHQDAyXl9BERSUpLefvtt5ebmHveaxMREffXVV70qDOhKhb3jtlVEaJBiwjlvDQBwYl51dNra2rRnzx4lJCSc8DqLxaLhw4f3qjCgK+V1bBYIAOg+r4JOSEiIPvnkk76qBTipsnoO8wQAdJ/Xc3RuvfVWPfnkk31RC3BSR3d0AAA4Ga8nObS3t2vFihV6/fXXlZWVpcjIyE7ff/TRR31WHPB17o5OChORAQDd4HXQ2bp1q84++2xJ0s6dOzt9jzkT6GvupeWpdHQAAN3gddB58803+6IOoFvcxz8MYY4OAKAberwz8q5du7RmzRodOtTxf9iGYfisKOB4yujoAAC84HXQOXDggC699FKdfvrpuvLKK1VeXi5Jmj17tn70ox/5vEDArdHRroaWdkl0dAAA3eN10Jk/f75CQkJUUlKiiIgIz/iMGTO0evVqnxYHHK3icDcnOixYUTY2CwQAnJzXfy1ee+01rVmzRkOHDu00ftppp2nv3r0+Kwz4Os9hnqy4AgB0k9cdnaampk6dHLfa2lrZbDafFAV0xXOYJ6eWAwC6yeugc/755+tPf/qT52uLxSKXy6Vf/epXuvjii31aHHA0d0eHzQIBAN3l9a2rX/3qV7r00ku1YcMGtba26qc//am2bdum2tpavf/++31RIyDpqI4Ot64AAN3kdUdnwoQJ2rlzp8477zxNmzZNTU1N+ta3vqXNmzdr1KhRfVEjIEkqr6ejAwDwTo+WrsTGxuree+/1dS3ACZUdPueKAz0BAN3ldUdn9OjRWrJkib744ou+qAfokmEYdHQAAF7zOujccccd+ve//60xY8Zo8uTJ+s1vfqOKioq+qA3wsLe0q7nVKYk5OgCA7uvRhoEfffSRtm/friuvvFLLli1Tenq6Lr/88k6rsQBfck9Ejo8IUXhokMnVAABOFT0+6+r000/Xfffdp507d+rdd99VdXW1Zs2a5cvaAA/PYZ50cwAAXuhx0JGk9evX6+6779a1116rnTt36vrrr+/R6yxbtkwZGRkKCwtTTk6O1q9ff9xrn3vuOWVnZysuLk6RkZHKzMzUn//8557+CDhFlHmWljM/BwDQfV4HnZ07d2rx4sU6/fTTde655+rzzz/Xgw8+qMrKSq1cudLrAlatWqWCggItXrxYmzZt0qRJkzR16lRVVVV1ef2gQYN07733at26dfrkk080a9YszZo1S2vWrPH6vXHq8HR02BUZAOAFi2EYhjdPsFqtmjx5sm6++WbdeOONSk5O7lUBOTk5mjx5spYuXSpJcrlcSk9P15133qkFCxZ06zXOPvtsXXXVVbr//vtPeq3dbldsbKzq6+sVExPTq9rhPwV/26LnNu3XT6aO0R0Xjza7HACAn/X077fX++js2LFDp512mrdP61Jra6s2btyohQsXesasVqvy8vK0bt26kz7fMAy98cYb2rFjhx588MEur3E4HHI4HJ6v7XZ77wuH37k7Oql0dAAAXvA66LhDzsaNG/X5559LksaNG6ezzz7b6zevqamR0+k8piuUnJys7du3H/d59fX1SktLk8PhUFBQkH73u9/psssu6/LawsJC3XfffV7Xhv6lws5kZACA97wOOlVVVZoxY4befvttxcXFSZLq6up08cUXa+XKlUpMTPR5kV8XHR2tLVu2qLGxUcXFxSooKNDIkSN10UUXHXPtwoULVVBQ4PnabrcrPT29z2uE7xiGcWRXZIIOAMALXk9GvvPOO9XY2Og5yLO2tlZbt26V3W7XXXfd5dVrJSQkKCgoSJWVlZ3GKysrlZKScvyirVaNHj1amZmZ+tGPfqTrrrtOhYWFXV5rs9kUExPT6YFTy8HmNjnaXZKk5FibydUAAE4lXged1atX63e/+53OOOMMz9i4ceO0bNkyvfrqq169VmhoqLKyslRcXOwZc7lcKi4uVm5ubrdfx+VydZqHg8Di7uYkRNlkC2azQABA93l968rlcikkJOSY8ZCQELlcLq8LKCgo0MyZM5Wdna0pU6aoqKhITU1Nns0H8/PzlZaW5unYFBYWKjs7W6NGjZLD4dArr7yiP//5z3r88ce9fm+cGjjjCgDQU14HnUsuuUTz5s3Ts88+q9TUVEnS/v37NX/+fF166aVeFzBjxgxVV1dr0aJFqqioUGZmplavXu2ZoFxSUiKr9UjjqampSbfffrv27dun8PBwjR07Vn/5y180Y8YMr98bp4ZyNgsEAPSQ1/volJaW6pprrtG2bds8k3pLS0s1YcIEvfTSSxo6dGifFOor7KNz6nng1e1a/vZuffecDC25ZrzZ5QAATOC3fXTS09O1adMmvf76654l4GeccYby8vK8fSmgWyro6AAAesjroCNJFotFl1122XH3rgF8qcw9RyeOpeUAAO94verqrrvu0m9/+9tjxpcuXaq7777bJ0UBR3PP0UmlowMA8JLXQeef//ynzj333GPGzznnHP3jH//wSVGAm8tlqIKODgCgh7wOOgcOHFBsbOwx4zExMaqpqfFJUYBbTZNDbU5DVouUFM1mgQAA73gddEaPHq3Vq1cfM/7qq69q5MiRPikKcHMf5pkYbVNIkNf/uAIABjivJyMXFBRo7ty5qq6u1iWXXCJJKi4u1iOPPKKioiKfF4iB7cgeOty2AgB4z+ug873vfU8Oh0P/+7//q/vvv1+SlJGRoccff1z5+fk+LxADW9nhjk5qHBORAQDe69Hy8h/+8If64Q9/qOrqaoWHhysqKsrXdQGSpAq7+/gHOjoAAO/1aNJDe3u7Xn/9dT333HNyb6xcVlamxsZGnxYHuA/0ZLNAAEBPeN3R2bt3r6644gqVlJTI4XDosssuU3R0tB588EE5HA4tX768L+rEAOU+0DOVpeUAgB7wuqMzb948ZWdn6+DBgwoPP/LH59prr1VxcbFPiwPK6egAAHrB647Ou+++qw8++EChoaGdxjMyMrR//36fFQY4XYYqGxyS6OgAAHrG646Oy+WS0+k8Znzfvn2Kjo72SVGAJFU1tMjpMhRstSghis0CAQDe8zroXH755Z32y7FYLGpsbNTixYt15ZVX+rQ4DGzupeXJMWEKslpMrgYAcCry+tbVI488oqlTp2rcuHFqaWnRzTffrC+++EIJCQl69tln+6JGDFBHNgtkfg4AoGe8DjpDhw7Vxx9/rFWrVunjjz9WY2OjZs+erVtuuaXT5GSgtzjMEwDQWz3aMDA4OFi33HKLbrnllk7jhw4dIuzAZzy7ItPRAQD0kE9OSXQ4HHrkkUc0YsQIX7wcIIlbVwCA3ut20HE4HFq4cKGys7N1zjnn6IUXXpAkPfXUUxoxYoSKioo0f/78PisUA08Zt64AAL3U7VtXixYt0hNPPKG8vDx98MEHuv766zVr1ix9+OGHevTRR3X99dcrKCioL2vFAMNmgQCA3up20Pn73/+uP/3pT7rmmmu0detWTZw4Ue3t7fr4449lsbD0F77V2u5SdWPHZoEc6AkA6Klu37rat2+fsrKyJEkTJkyQzWbT/PnzCTnoE5X2FhmGFBpk1eDI0JM/AQCALnQ76Didzk7HPgQHBysqKqpPigLch3mmxIbJymaBAIAe6vatK8Mw9N3vflc2W8dW/C0tLbrtttsUGRnZ6brnnnvOtxViQGLFFQDAF7oddGbOnNnp61tvvdXnxQBu7o4Oh3kCAHqj20Hnqaee6ss6gE5YcQUA8AWfbBgI+Bp76AAAfIGgg37JM0cnho4OAKDnCDrol8rr3B0dgg4AoOcIOuh3WtqcOtDUKklKZbNAAEAvEHTQ71Qcnp8TFmJVXESIydUAAE5lBB30O56l5bHh7LwNAOgVgg76Hc9EZObnAAB6iaCDfsfd0eEwTwBAbxF00O+UHd4sMJXNAgEAvUTQQb9z5EBPOjoAgN7pF0Fn2bJlysjIUFhYmHJycrR+/frjXvuHP/xB559/vuLj4xUfH6+8vLwTXo9Tj7ujwxwdAEBvmR50Vq1apYKCAi1evFibNm3SpEmTNHXqVFVVVXV5/VtvvaWbbrpJb775ptatW6f09HRdfvnl2r9/v58rR185etUVAAC9YTEMwzCzgJycHE2ePFlLly6VJLlcLqWnp+vOO+/UggULTvp8p9Op+Ph4LV26VPn5+Se93m63KzY2VvX19YqJiel1/fCt5tZ2jVu0RpL0yZLLFRPGPjoAgJ7//Ta1o9Pa2qqNGzcqLy/PM2a1WpWXl6d169Z16zWam5vV1tamQYMGdfl9h8Mhu93e6YH+y93NibIFE3IAAL1matCpqamR0+lUcnJyp/Hk5GRVVFR06zXuuecepaamdgpLRyssLFRsbKznkZ6e3uu60Xc8Z1yx4goA4AOmz9HpjQceeEArV67U888/r7Cwrv8wLly4UPX19Z5HaWmpn6uEN8o8mwUyPwcA0HvBZr55QkKCgoKCVFlZ2Wm8srJSKSkpJ3zuww8/rAceeECvv/66Jk6ceNzrbDabbDabT+pF33N3dNhDBwDgC6Z2dEJDQ5WVlaXi4mLPmMvlUnFxsXJzc4/7vF/96le6//77tXr1amVnZ/ujVPiJ+/iHFIIOAMAHTO3oSFJBQYFmzpyp7OxsTZkyRUVFRWpqatKsWbMkSfn5+UpLS1NhYaEk6cEHH9SiRYv0zDPPKCMjwzOXJyoqSlFRUab9HPCNMpaWAwB8yPSgM2PGDFVXV2vRokWqqKhQZmamVq9e7ZmgXFJSIqv1SOPp8ccfV2trq6677rpOr7N48WItWbLEn6WjD5SzWSAAwIdM30fH39hHp387c/EaNTja9XrBhRqdRIcOANDhlNxHBzhaQ0ubGhztkqRUOjoAAB8g6KDfcG8WGBseoohQ0++qAgACAEEH/YbnME9WXAEAfISgg37Dc5gnmwUCAHyEoIN+w73iij10AAC+QtBBv3FkDx2CDgDANwg66DfcuyIPYbNAAICPEHTQb7jn6LBZIADAVwg66BcMwzjqQE86OgAA3yDooF+oP9SmQ21OSUxGBgD4DkEH/ULZ4W7O4MhQhYUEmVwNACBQEHTQL3gmIjM/BwDgQwQd9AvupeUpMczPAQD4DkEH/YJ7s0AO8wQA+BJBB/2CZ2k5K64AAD5E0EG/4J6jQ0cHAOBLBB30C3R0AAB9gaAD0xmGcVTQoaMDAPAdgg5Md6CpVa3tLlksbBYIAPAtgg5M5z76ITHKppAg/pEEAPgOf1VgujLPqeV0cwAAvkXQgence+gwERkA4GsEHZjOMxGZpeUAAB8j6MB07qCTSkcHAOBjBB2YjgM9AQB9haAD05XVsVkgAKBvEHRgKqfLUKX98K0rOjoAAB8j6MBUNY0OtbsMBVktSoom6AAAfIugA1OVHV5anhRtU5DVYnI1AIBAQ9CBqTjjCgDQlwg6MJW7ozMkjonIAADfI+jAVBWePXTo6AAAfI+gA1MduXVFRwcA4HsEHZjKfaAnS8sBAH2BoANTlbNZIACgDxF0YJp2p0tVDay6AgD0HYIOTFPZ4JDLkEKCLEqIspldDgAgABF0YJryw0vLk2PCZGWzQABAHzA96CxbtkwZGRkKCwtTTk6O1q9ff9xrt23bpm9/+9vKyMiQxWJRUVGRHyuFr5V5lpYzPwcA0DdMDTqrVq1SQUGBFi9erE2bNmnSpEmaOnWqqqqqury+ublZI0eO1AMPPKCUlBQ/Vwtfq6h3bxbI/BwAQN8wNeg8+uijmjNnjmbNmqVx48Zp+fLlioiI0IoVK7q8fvLkyXrooYd04403ymZjTseprowVVwCAPmZa0GltbdXGjRuVl5d3pBirVXl5eVq3bp3P3sfhcMhut3d6oH8oZw8dAEAfMy3o1NTUyOl0Kjk5udN4cnKyKioqfPY+hYWFio2N9TzS09N99troHXZFBgD0NdMnI/e1hQsXqr6+3vMoLS01uyQcduTWFR0dAEDfCDbrjRMSEhQUFKTKyspO45WVlT6daGyz2ZjP0w852p2qaXRIIugAAPqOaR2d0NBQZWVlqbi42DPmcrlUXFys3Nxcs8qCn1TWd4QcW7BVgyJDTa4GABCoTOvoSFJBQYFmzpyp7OxsTZkyRUVFRWpqatKsWbMkSfn5+UpLS1NhYaGkjgnMn332mefz/fv3a8uWLYqKitLo0aNN+zngPfdE5CGxYbJY2CwQANA3TA06M2bMUHV1tRYtWqSKigplZmZq9erVngnKJSUlslqPNJ3Kysp01llneb5++OGH9fDDD+vCCy/UW2+95e/y0QtMRAYA+IOpQUeS5s6dq7lz53b5va+Hl4yMDBmG4Yeq0NfK2CwQAOAHAb/qCv1TeR3HPwAA+h5BB6Yop6MDAPADgg5MwR46AAB/IOjAFEdWXXHrCgDQdwg68LtDrU4dbG6TxBwdAEDfIujA7yrsHbetIkKDFBNu+sI/AEAAI+jA78rr2CwQAOAfBB34XdnhzQJT47htBQDoWwQd+N3RHR0AAPoSQQd+V8bxDwAAPyHowO+OPtATAIC+RNCB37mPfxjCHB0AQB8j6MDv3Ad6ptLRAQD0MYIO/KrR0a6GlnZJdHQAAH2PoAO/qjjczYkOC1aUjc0CAQB9i6ADv3If5snRDwAAfyDowK88K67imJ8DAOh7BB34lbujwx46AAB/IOjAr9hDBwDgTwQd+FW5Z1dkgg4AoO8RdOBXZYfPueJATwCAPxB04DeGYdDRAQD4FUEHfmNvaVdzq1MSk5EBAP5B0IHfuCcix0eEKDw0yORqAAADAUEHflPO0nIAgJ8RdOA3nsM82SwQAOAnBB34jbujk8JEZACAnxB04Ddlns0CuXUFAPAPgg78xt3R4dYVAMBfCDrwmwo7k5EBAP5F0IFfGIZxZFdkgg4AwE8IOvCLg81tcrS7JEnJsTaTqwEADBQEHfiFu5uTEGWTLZjNAgEA/kHQgV+4z7hiIjIAwJ8IOvAL9/EPKTEEHQCA/xB04BdlnqXlTEQGAPgPQQd+Ue7ZLJCODgDAfwg68Av3HJ0hdHQAAH7UL4LOsmXLlJGRobCwMOXk5Gj9+vUnvP7vf/+7xo4dq7CwMJ155pl65ZVX/FQpesrd0UmlowMA8CPTg86qVatUUFCgxYsXa9OmTZo0aZKmTp2qqqqqLq//4IMPdNNNN2n27NnavHmzpk+frunTp2vr1q1+rhzd5XIZqqCjAwAwgcUwDMPMAnJycjR58mQtXbpUkuRyuZSenq4777xTCxYsOOb6GTNmqKmpSS+//LJn7Bvf+IYyMzO1fPnyk76f3W5XbGys6uvrFRMT47Ofw9HuVHWDw2evF0jqmtv0/x57T1aLtOMX31RIkOn5GgBwiunp3+/gPqzppFpbW7Vx40YtXLjQM2a1WpWXl6d169Z1+Zx169apoKCg09jUqVP1wgsvdHm9w+GQw3EkgNjtdh9UfqxtZXZ963cf9MlrB4rEaBshBwDgV6YGnZqaGjmdTiUnJ3caT05O1vbt27t8TkVFRZfXV1RUdHl9YWGh7rvvPt8UfAIWSbZg/ogfj9Vi0XVZQ80uAwAwwJgadPxh4cKFnTpAdrtd6enpPn+fs4bFa8cvvunz1wUAAD1natBJSEhQUFCQKisrO41XVlYqJSWly+ekpKR4db3NZpPNxiGSAAAMRKbeawkNDVVWVpaKi4s9Yy6XS8XFxcrNze3yObm5uZ2ul6S1a9ce93oAADBwmX7rqqCgQDNnzlR2dramTJmioqIiNTU1adasWZKk/Px8paWlqbCwUJI0b948XXjhhXrkkUd01VVXaeXKldqwYYN+//vfm/ljAACAfsj0oDNjxgxVV1dr0aJFqqioUGZmplavXu2ZcFxSUiKr9Ujj6ZxzztEzzzyj//mf/9F///d/67TTTtMLL7ygCRMmmPUjAACAfsr0fXT8ra/20QEAAH2np3+/WQ8NAAACFkEHAAAELIIOAAAIWAQdAAAQsAg6AAAgYBF0AABAwCLoAACAgEXQAQAAAYugAwAAApbpR0D4m3sjaLvdbnIlAACgu9x/t7090GHABZ2GhgZJUnp6usmVAAAAbzU0NCg2Nrbb1w+4s65cLpfKysoUHR0ti8Xi09e22+1KT09XaWkp52j1IX7P/sHv2T/4PfsPv2v/6Kvfs2EYamhoUGpqaqfDvk9mwHV0rFarhg4d2qfvERMTw79EfsDv2T/4PfsHv2f/4XftH33xe/amk+PGZGQAABCwCDoAACBgBS1ZsmSJ2UUEkqCgIF100UUKDh5wdwX9it+zf/B79g9+z/7D79o/+tPvecBNRgYAAAMHt64AAEDAIugAAICARdABAAABi6ADAAACFkHHR5YtW6aMjAyFhYUpJydH69evN7ukgPPOO+/o6quvVmpqqiwWi1544QWzSwpIhYWFmjx5sqKjo5WUlKTp06drx44dZpcVcB5//HFNnDjRs6labm6uXn31VbPLCngPPPCALBaL7r77brNLCShLliyRxWLp9Bg7dqzZZUki6PjEqlWrVFBQoMWLF2vTpk2aNGmSpk6dqqqqKrNLCyhNTU2aNGmSli1bZnYpAe3tt9/WHXfcoQ8//FBr165VW1ubLr/8cjU1NZldWkAZOnSoHnjgAW3cuFEbNmzQJZdcomnTpmnbtm1mlxawPvroIz3xxBOaOHGi2aUEpPHjx6u8vNzzeO+998wuSRLLy30iJydHkydP1tKlSyV1nKeVnp6uO++8UwsWLDC5usBksVj0/PPPa/r06WaXEvCqq6uVlJSkt99+WxdccIHZ5QS0QYMG6aGHHtLs2bPNLiXgNDY26uyzz9bvfvc7/eIXv1BmZqaKiorMLitgLFmyRC+88IK2bNlidinHoKPTS62trdq4caPy8vI8Y1arVXl5eVq3bp2JlQG+UV9fL6njjzD6htPp1MqVK9XU1KTc3FyzywlId9xxh6666qpO/62Gb33xxRdKTU3VyJEjdcstt6ikpMTskiQNwEM9fa2mpkZOp1PJycmdxpOTk7V9+3aTqgJ8w+Vy6e6779a5556rCRMmmF1OwPn000+Vm5urlpYWRUVF6fnnn9e4cePMLivgrFy5Ups2bdJHH31kdikBKycnR08//bTGjBmj8vJy3XfffTr//PO1detWRUdHm1obQQfAcd1xxx3aunVrv7nXHmjGjBmjLVu2qL6+Xv/4xz80c+ZMvf3224QdHyotLdW8efO0du1ahYWFmV1OwPrmN7/p+XzixInKycnR8OHD9be//c30W7EEnV5KSEhQUFCQKisrO41XVlYqJSXFpKqA3ps7d65efvllvfPOOxo6dKjZ5QSk0NBQjR49WpKUlZWljz76SL/5zW/0xBNPmFxZ4Ni4caOqqqp09tlne8acTqfeeecdLV26VA6HQ0FBQSZWGJji4uJ0+umna9euXWaXwhyd3goNDVVWVpaKi4s9Yy6XS8XFxdxrxynJMAzNnTtXzz//vN544w2NGDHC7JIGDJfLJYfDYXYZAeXSSy/Vp59+qi1btnge2dnZuuWWW7RlyxZCTh9pbGzU7t27NWTIELNLoaPjCwUFBZo5c6ays7M1ZcoUFRUVqampSbNmzTK7tIDS2NjY6f8OvvrqK23ZskWDBg3SsGHDTKwssNxxxx165pln9OKLLyo6OloVFRWSpNjYWIWHh5tcXeBYuHChvvnNb2rYsGFqaGjQM888o7feektr1qwxu7SAEh0dfcz8ssjISA0ePJh5Zz704x//WFdffbWGDx+usrIyLV68WEFBQbrpppvMLo2g4wszZsxQdXW1Fi1apIqKCmVmZmr16tXHTFBG72zYsEEXX3yx5+uCggJJ0syZM/X000+bVFXgefzxxyVJF110Uafxp556St/97nf9X1CAqqqqUn5+vsrLyxUbG6uJEydqzZo1uuyyy8wuDfDavn37dNNNN+nAgQNKTEzUeeedpw8//FCJiYlml8Y+OgAAIHAxRwcAAAQsgg4AAAhYBB0AABCwCDoAACBgEXQAAEDAIugAAICARdABAAABi6ADAAACFkEHQEBZsmSJMjMzzS6jS0uWLJHFYpHFYlFRUdEJr3VfFxcX56fqgMBE0AEGuO9+97ueP6ru07R//vOfq7293ezSAtL48eNVXl6u73Z/AKAAAAaxSURBVH//+ye8rry8/KRhCMDJcdYVAF1xxRV66qmn5HA49Morr+iOO+5QSEiIFi5c2KPXa21tVWhoqI+rDAzBwcFKSUk56XUpKSmKjY31Q0VAYKOjA0A2m00pKSkaPny4fvjDHyovL08vvfSS5/v//Oc/NX78eNlsNmVkZOiRRx7p9PyMjAzdf//9ys/PV0xMjKdbUVpaqhtuuEFxcXEaNGiQpk2bpj179nRZg8vl0tChQz2Hirpt3rxZVqtVe/fulSSVlJRo2rRpioqKUkxMjG644QZVVlYe92e76KKLdPfdd3camz59eqcDSjMyMvSLX/xC+fn5ioqK0vDhw/XSSy+purra814TJ07Uhg0bOr3Oe++9p/PPP1/h4eFKT0/XXXfdpaampuPWAsD/CDoAjhEeHq7W1lZJ0saNG3XDDTfoxhtv1KeffqolS5boZz/72TEnxj/88MOaNGmSNm/erJ/97Gdqa2vT1KlTFR0drXfffVfvv/++oqKidMUVV3he+2hWq1U33XSTnnnmmU7jf/3rX3Xuuedq+PDhcrlcmjZtmmpra/X2229r7dq1+vLLLzVjxoxe/8y//vWvde6552rz5s266qqr9J3vfEf5+fm69dZbtWnTJo0aNUr5+flyn4O8e/duXXHFFfr2t7+tTz75RKtWrdJ7772nuXPn9roWAD5kABjQZs6caUybNs0wDMNwuVzG2rVrDZvNZvz4xz82DMMwbr75ZuOyyy7r9Jyf/OQnxrhx4zxfDx8+3Jg+fXqna/785z8bY8aMMVwul2fM4XAY4eHhxpo1a7qsZfPmzYbFYjH27t1rGIZhOJ1OIy0tzXj88ccNwzCM1157zQgKCjJK/n979/fK3h/HAfy5+ZAfx2+bUhNLajI/xhUhUrghSspEWflRQlFc+BX/gnCHCzK5sOJSYY1SZGFkpD5TKxfLhaK0ne+FnL77zJgvX33b9/m4Oud93ue11zkX69Xr/V77/Vu65+zsTAQgHhwciKIoiuPj42Jubq50vaysTOzr6/P6nLq6OrGtrc0r/5aWFunc6XSKAMTR0VFpbH9/XwQgOp1OURRF0WAwiB0dHV5xzWazKJfLxcfHxzef78/cPjI/Py/GxsYGPJ+IfLGjQ0TY2NiAIAgIDw9HTU0NmpqaMDExAQA4Pz9HcXGx1/zi4mLY7Xa43W5prLCw0GuO1WrF1dUVoqOjIQgCBEFAQkICnp6ecH19/WYeeXl50Gg0UldnZ2cHd3d3aGxslHJRqVRQqVTSPVlZWYiLi8P5+fmX3kFOTo50nJycDADQarU+Y3d3d9LzLSwsSM8mCAKqqqrg8Xhwc3MT8Od2dXV5xSCi78XNyESE8vJyzM7OIiwsDCkpKfj16/NfDVFRUV7nDw8PKCgowNLSks9chULhN45er8fy8jKGh4exvLyM6upqJCYmfjqfV3K5XFpuevX8/OwzLzQ0VDqWyWR+xzweD4CX5+vs7ERvb69PrNTU1IDzm5ycxODgYMDziehzWOgQEaKiopCRkfHmNY1GA4vF4jVmsViQmZmJkJAQvzF1Oh2MRiOUSiViYmICzqW5uRkjIyM4PDzE2toa5ubmvHJxOBxwOBxSV8dms+H+/h5ZWVlvxlMoFHA6ndK52+3G6ekpysvLA87pLTqdDjabze97C5RSqYRSqfxSDCLyj0tXRPSugYEBbG1tYWpqCpeXl1hcXMT09PSHXQi9Xo+kpCTU1dXBbDbj5uYG29vb6O3txe3trd/70tLSUFRUBIPBALfbjdraWulaZWUltFot9Ho9jo6OcHBwgNbWVpSVlfksnb2qqKjA5uYmNjc3cXFxge7ubtzf3/+zl/E3Q0ND2NvbQ09PD46Pj2G322EymbgZmeg/hoUOEb1Lp9NhdXUVKysryM7OxtjYGCYnJ71+nv2WyMhI7O7uIjU1FQ0NDdBoNDAYDHh6evqww6PX62G1WlFfX4+IiAhpXCaTwWQyIT4+HqWlpaisrIRarYbRaPQbq729HW1tbVJBpFarv9zNAV729Ozs7ODy8hIlJSXIz8/H2NgYUlJSvhybiL6PTPxz8ZqIiP4VExMTWF9fx/HxcUDzFxYW0N/f/y0dKKL/K3Z0iIh+0MnJCQRBwMzMzLvzBEFAV1fXD2VFFLzY0SEi+iEulwsulwvAyybp9/7i4erqCgAQEhKC9PT0H8mPKBix0CEiIqKgxaUrIiIiClosdIiIiChosdAhIiKioMVCh4iIiIIWCx0iIiIKWix0iIiIKGix0CEiIqKgxUKHiIiIgtZfHHeAwAR5EuEAAAAASUVORK5CYII=",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.8608359516499842\n",
      "low sal breakthrough time = 1.0980083098209574\n",
      "high sal sw_shock = 0.5418926584207182\n",
      "high sal breakthrough time = 0.7870168506036143\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f0873cf9ad0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids_oil_water = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_solvent = FF.oil_water_fluids(mu_water=1.1e-3, mu_oil=1e-3)\n",
    "rel_perms_oil_water = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "rel_perms_solvent = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "swc=0.15, sor=0.05, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(sw_init = 1-0.2)\n",
    "core_props = FF.core_properties()\n",
    "K_eq = 2.0\n",
    "sol_res = FF.water_soluble_solvent_flood(core_props, fluids_solvent, fluids_oil_water, \n",
    "    rel_perms_oil_water, rel_perms_solvent, core_flood, K_eq)\n",
    "FF.visualize(sol_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "\u001b[91mUndefVarError: sol_res not defined\u001b[39m",
     "output_type": "error",
     "traceback": [
      "\u001b[91mUndefVarError: sol_res not defined\u001b[39m",
      ""
     ]
    }
   ],
   "source": [
    "typeof(sol_res)"
   ]
  }
 ],
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